1.
2 3/5 + 1 1/5=
Correct Answer
C. 3 4/5
Explanation
The given question asks to add the mixed numbers 2 3/5 and 1 1/5. To add these numbers, we first add the whole numbers together, which gives us 3. Then, we add the fractions by finding a common denominator, which in this case is 5. The fractions 3/5 and 1/5 can be added together to give us 4/5. Therefore, the sum of 2 3/5 and 1 1/5 is 3 4/5.
2.
6 5/7 - 4=
Correct Answer
D. 2 5/7
Explanation
The given expression is 6 5/7 - 4. To subtract 4 from 6 5/7, we need to find a common denominator for the fractions. The common denominator is 7. So, we can rewrite the expression as 6 5/7 - 4/1. Now, we can subtract the whole numbers separately and the fractions separately. 6 - 4 equals 2, and 5/7 remains the same. Therefore, the answer is 2 5/7.
3.
7 4/10 - 3 1/10=
Correct Answer
A. 4 3/10
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 same denominator. In this case, the result is 4 3/10, which means 4 whole units and 3/10 of another unit. Therefore, the correct answer is 4 3/10.
4.
10 5/10 + 4 7/10=
Correct Answer
B. 15 1/5
Explanation
The given expression involves adding two mixed numbers. To add mixed numbers, we first add the whole numbers together and then add the fractions together separately. In this case, the whole numbers 10 and 4 add up to 14. Then, we add the fractions 5/10 and 7/10, which equals 12/10 or 1 2/10. Combining the whole number and fraction parts, we get the final answer of 14 1/5.
5.
4 1/6 - 3 3/8=
Correct Answer
D. 19/24
Explanation
The given expression is a subtraction of mixed numbers. To subtract mixed numbers, we first convert them into improper fractions. Then, we find a common denominator and subtract the fractions. Finally, we convert the result back into a mixed number if necessary. In this case, 4 1/6 is equivalent to 25/6 and 3 3/8 is equivalent to 27/8. The common denominator is 24. Subtracting the fractions, we get (25/6) - (27/8) = (100/24) - (81/24) = 19/24. Therefore, the answer is 19/24.
6.
7 - 6 1/5=
Correct Answer
B. 4/5
Explanation
To subtract a mixed number from a whole number, we need to convert the mixed number to an improper fraction. In this case, 6 1/5 can be written as 31/5. Then, we subtract 31/5 from 7. The result is 34/5, which can be simplified to 6 4/5. Therefore, the correct answer is 4/5.
7.
11 1/2 + 6 1/6=
Correct Answer
C. 17 2/3
Explanation
The given question asks to add two mixed numbers: 11 1/2 and 6 1/6. To add these numbers, we need to find a common denominator, which in this case is 6. Then, we add the whole numbers together (11 + 6 = 17) and add the fractions separately. 1/2 is equivalent to 3/6 and 1/6 is equivalent to 1/6. Adding these fractions gives us 4/6. Simplifying this fraction, we get 2/3. Therefore, the final answer is 17 2/3.
8.
5 1/5 - 4 1/2=
Correct Answer
D. 7/10
Explanation
The given equation is a subtraction problem involving mixed numbers. To solve it, we need to convert the mixed numbers into improper fractions. 5 1/5 can be written as 26/5 and 4 1/2 can be written as 9/2. Subtracting these fractions gives us (26/5) - (9/2), which can be simplified by finding a common denominator. The common denominator is 10, so the equation becomes (52/10) - (45/10), which equals 7/10. Therefore, the correct answer is 7/10.