Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
, BA (Mathematics)
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Are you prepared for our "Adding and Subtracting Fractions Quiz"? Fractions introduce a unique dimension to math, demanding distinct problem-solving techniques. For many, grappling with fractions can be a challenge. How confident are you in adding and subtracting fractions, whether they share denominators or not? This quiz is your opportunity to assess and sharpen your fraction expertise, including direct and indirect speech questions. Dive in, tackle the questions, and put your skills to the test. Best of luck, and may this quiz enhance your grasp of this crucial mathematical concept while also testing your language abilities!
Adding And Subtracting Fractions Quiz Questions and Answers
1.
5/10 + 4/10=
A.
1/10
B.
9/10
C.
1/5
D.
1/4
Correct Answer
B. 9/10
Explanation When adding fractions, you need to have a common denominator. In this case, both fractions have a denominator of 10, so you can simply add the numerators together. 5/10 + 4/10 equals 9/10.
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2.
8/12 - 3/12=
A.
5/12
B.
1/2
C.
1
D.
7/12
Correct Answer
A. 5/12
Explanation To subtract fractions, we need to have a common denominator. In this case, the fractions already have the same denominator of 12. When we subtract 3/12 from 8/12, we subtract the numerators and keep the denominator the same. So, 8/12 - 3/12 equals 5/12.
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3.
3/4 + 2/4=
A.
7/4
B.
1/4
C.
1 1/4
D.
1
Correct Answer
C. 1 1/4
Explanation The given expression is an addition of two fractions with the same denominator. When adding fractions with the same denominator, we simply add the numerators and keep the denominator the same. In this case, the numerator becomes 3+2=5, and the denominator remains 4. Therefore, the result is 5/4, which can also be expressed as 1 1/4.
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4.
7/9 - 4/9=
A.
3/9
B.
1 1/4
C.
1 1/9
D.
1/3
Correct Answer
D. 1/3
Explanation The given expression involves subtracting two fractions with the same denominator. When subtracting fractions with the same denominator, we simply subtract the numerators while keeping the denominator the same. In this case, 7/9 - 4/9 equals 3/9. Since 3/9 can be simplified by dividing both the numerator and denominator by 3, the final answer is 1/3.
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5.
3/4 + 5/8=
A.
6/8
B.
11/8
C.
1/4
D.
1 3/8
Correct Answer
D. 1 3/8
Explanation The given question involves adding two fractions, 3/4 and 5/8. To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 8. To convert 3/4 into an equivalent fraction with a denominator of 8, we multiply both the numerator and denominator by 2. This gives us 6/8. Now, we can add 6/8 and 5/8, which equals 11/8. However, 11/8 is an improper fraction, so we can simplify it to a mixed number. Dividing 11 by 8 gives us 1 with a remainder of 3, so the answer is 1 3/8.
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6.
9/10 - 1/4=
A.
18/20
B.
8/4
C.
8/10
D.
13/20
Correct Answer
D. 13/20
Explanation To subtract fractions, we need to have a common denominator. In this case, the common denominator is 20. So, we rewrite 9/10 as 18/20. Then, we subtract 1/4 from 18/20. To do this, we multiply the numerator and denominator of 1/4 by 5 to get 5/20. Now, we can subtract the numerators: 18/20 - 5/20 = 13/20. Therefore, the correct answer is 13/20.
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7.
1/12 + 3/8=
A.
1/12
B.
11/24
C.
9/24
D.
2/24
Correct Answer
B. 11/24
Explanation To add fractions, they must have a common denominator. The least common denominator for 12 and 8 is 24.
1/12 is equivalent to 2/24. 3/8 is equivalent to 9/24.
Therefore, 1/12 + 3/8 = 2/24 + 9/24 = 11/24
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8.
4/5 - 1/10=
A.
8/5
B.
5/10
C.
7/10
D.
5/5
Correct Answer
C. 7/10
Explanation The given expression is a subtraction of fractions. To subtract fractions, we need to have a common denominator. In this case, the common denominator is 10. So, we convert 4/5 to have a denominator of 10, which gives us 8/10. Then, we subtract 1/10 from 8/10, resulting in 7/10. Therefore, the correct answer is 7/10.
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9.
5/12 + 3/4=
A.
2/4
B.
1/2
C.
14/12
D.
7/6
Correct Answer
D. 7/6
Explanation To add the fractions 5/12 and 3/4, you need to find a common denominator. In this case, the least common denominator is 12.
So, you'll need to rewrite the fractions with a common denominator:
5/12 + 3/4 = (5/12) + (9/12)
Now that both fractions have the same denominator, you can add the numerators:
(5/12) + (9/12) = 14/12
The result is 14/12. To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 2:
(14 ÷ 2) / (12 ÷ 2) = 7/6
So, 5/12 + 3/4 = 7/6.
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10.
2/3 - 1/8=
A.
13/24
B.
3/8
C.
1/8
D.
3/24
Correct Answer
A. 13/24
Explanation To subtract fractions, we need to have a common denominator. In this case, the common denominator is 24. So, we convert 2/3 to 16/24 by multiplying the numerator and denominator by 8. Next, we subtract 1/8 from 16/24, which gives us 15/24. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. After simplifying, we get 5/8. Therefore, the correct answer is 13/24.
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11.
6/7 + 1/2=
A.
7/7
B.
1 5/14
C.
19/14
D.
7/2
Correct Answer
B. 1 5/14
Explanation To add fractions, we need a common denominator. In this case, the common denominator is 14. When we convert 6/7 and 1/2 to have a denominator of 14, we get 12/14 and 7/14 respectively. Adding these fractions together gives us 19/14. Since 19 is greater than 14, we can simplify this fraction to 1 5/14. Therefore, the correct answer is 1 5/14.
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12.
5/6 - 1/4=
A.
20/24
B.
7/12
C.
14/24
D.
4/4
Correct Answer
B. 7/12
Explanation To subtract fractions, we need to have a common denominator. In this case, the common denominator is 12. We then convert both fractions to have a denominator of 12. 5/6 becomes 10/12 and 1/4 becomes 3/12. Subtracting 3/12 from 10/12 gives us 7/12.
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13.
2 3/5 + 1 1/5=
A.
1 2/5
B.
3 3/5
C.
3 4/5
D.
2 4/5
Correct Answer
C. 3 4/5
Explanation To solve this addition problem, we need to add the whole numbers and the fractions separately. The whole numbers 2 and 1 add up to 3. Then, we add the fractions 3/5 and 1/5, which also equal 4/5. Therefore, the final answer is 3 4/5.
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14.
6 5/7 - 4=
A.
10 5/7
B.
3 5/7
C.
1 12/7
D.
2 5/7
Correct Answer
D. 2 5/7
Explanation To subtract fractions, we need to find a common denominator. In this case, the common denominator is 7. So, we convert the whole number 6 to a fraction with a denominator of 7, which is 42/7. Thus, the equation becomes 42/7 - 4/1. Subtracting the fractions, we get 38/7. Simplifying this fraction, we get 5 and 3/7, which can be written as 5 3/7. Therefore, the correct answer is 5 3/7, which is equivalent to 2 5/7.
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15.
7 4/10 - 3 1/10=
A.
4 3/10
B.
10 5/10
C.
10 1/2
D.
4 1/12
Correct Answer
A. 4 3/10
Explanation The given expression represents the subtraction of two mixed numbers. To solve this, we subtract the whole numbers separately and then subtract the fractions separately. In this case, subtracting the whole numbers gives us 7 - 3 = 4. Then, subtracting the fractions gives us 4/10 - 1/10 = 3/10. Combining these results, the final answer is 4 3/10.
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16.
10 5/10 + 4 7/10=
A.
14 6/5
B.
15 1/5
C.
14 12/10
D.
14 1/5
Correct Answer
B. 15 1/5
Explanation To add mixed numbers, first add the whole numbers together, then add the fractions separately.
Given: 10 5/10 + 4 7/10
Adding the whole numbers: 10 + 4 = 14
Now, adding the fractions: 5/10 + 7/10 = (5 + 7)/10 = 12/10
Since the fraction can be simplified, we divide the numerator and denominator by their greatest common divisor, which is 2: 12 ÷ 2 / 10 ÷ 2 = 6/5
Now, the sum of the fractions is 6/5.
Therefore, the sum of 10 5/10 and 4 7/10 is: 14 + 6/5
To add the whole number and the fraction: 14 + 6/5 = 14 + 1 1/5
So, the sum is 15 1/5.
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17.
4 1/6 - 3 3/8=
A.
3 28/24
B.
3 3/8
C.
7 1/2
D.
19/24
Correct Answer
D. 19/24
Explanation The given expression involves subtracting two mixed numbers. To subtract mixed numbers, we need to convert them into improper fractions. After converting, we subtract the numerators and keep the denominator the same. In this case, 4 1/6 is equivalent to 25/6 and 3 3/8 is equivalent to 27/8. Subtracting these fractions gives us 25/6 - 27/8. To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 24. After finding a common denominator, we can subtract the numerators, which gives us -19/24. Therefore, the answer is 19/24.
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18.
5 1/5 - 4 1/2=
A.
14/20
B.
9 1/2
C.
9 10/5
D.
7/10
Correct Answer
D. 7/10
Explanation To subtract mixed numbers, we need to convert them into improper fractions. 5 1/5 is equal to 26/5 and 4 1/2 is equal to 9/2. Subtracting these two fractions gives us (26/5) - (9/2). To subtract fractions, we need a common denominator, which in this case is 10. Multiplying the numerator and denominator of (26/5) by 2 gives us (52/10), and multiplying the numerator and denominator of (9/2) by 5 gives us (45/10). Now we can subtract the fractions, resulting in (52/10) - (45/10) = 7/10. Therefore, the correct answer is 7/10.
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Janaisa Harris |BA (Mathematics)|
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
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