1.
Change to a mixed number.
Correct Answer
C. 8 and 2/3
Explanation
To convert the improper fraction 26/3 into a mixed number, you need to divide the numerator (26) by the denominator (3). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. Here's how you do it:
26 ÷ 3 = 8 with a remainder of 2
So, the mixed number is:
8 2/3
2.
Change to a mixed number.
Correct Answer
A. 4 and 3/4
Explanation
The mixed number representation of 19/4 is obtained by dividing the numerator (19) by the denominator (4).
19÷4=4 with a remainder of 3
So, the mixed number is 4 3/4.
3.
Change to an improper fraction.
Correct Answer
B. 47/8
Explanation
To change a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 4, the denominator is 8, and the numerator is 7. Multiplying 4 by 8 gives us 32, and adding 7 gives us 39. Therefore, the improper fraction equivalent of 40/7 is 39/8.
4.
Change to an improper fraction.
Correct Answer
A. 45/4
Explanation
To change a mixed number to an improper fraction, we need to multiply the whole number by the denominator and add the numerator. In this case, the whole number is 11 (since 45 divided by 4 equals 11 with a remainder of 1), the denominator is 4, and the numerator is 1. Therefore, the improper fraction is 45/4.
5.
Add:
Correct Answer
B. 17/15
Explanation
The least common multiple (LCM) of 3 and 5 is 15. So, you can use 15 as the common denominator. Convert the fractions to have the common denominator.
For 1/3, multiply both the numerator and denominator by 5: 1/3 * 5/5 = 5/15
For 4/5, multiply both the numerator and denominator by 3: 4/5 * 3/3 = 12/15
Add the converted fractions. 5/15 + 12/15 = 17/15
So, the sum of 1/3 and 4/5 is 17/15.
6.
Solve this:
Correct Answer
C. 11/24
Explanation
To solve the expression 5/6−3/85/6−3/8, you'll need to find a common denominator and then subtract the fractions:
Step 1: Find a common denominator for 66 and 88. In this case, the least common denominator (LCD) is 2424.
Step 2: Rewrite the fractions with the common denominator:
56=5⋅46⋅4=202465â€‹=6⋅45⋅4â€‹=2420â€‹
38=3⋅38⋅3=92483â€‹=8⋅33⋅3â€‹=249â€‹
Step 3: Subtract the fractions with the common denominator:
2024−924=20−924=11242420â€‹−249â€‹=2420−9â€‹=2411â€‹
So, 5/6−3/8=11/245/6−3/8=11/24.
7.
Jill ran mile on Monday and miles on Tuesday. How many miles did she run altogether?
Correct Answer
B. 4 miles
Explanation
Jill ran 1 1/3 mile on Monday and 2 2/3 miles on Tuesday. To find the total distance she ran, we add these two distances together. 1 1/3 + 2 2/3 = 1+2+1/3+2/3 = 4 miles. Therefore, Jill ran a total of 4 miles altogether.
8.
One cookie recipe calls for cups of flour. Another recipe calls for cups of flour. How many cups of flour would be needed for both recipes?
Correct Answer
D. 5 and 3/4
Explanation
The correct answer is 5 and 3/4. To find the total amount of flour needed for both recipes, we add the amount of flour required in each recipe. Since one recipe calls for 4 cups of flour and the other recipe calls for 1 and 3/4 cups of flour, the total amount of flour needed for both recipes is 5 and 3/4 cups.
9.
Correct Answer
A. 11 and 1/3
Explanation
3 5/9 + 7 7/9=102/9
To express 102/9 as a mixed fraction, you can divide 102 by 9, which equals 11 with a remainder of 3. Therefore, the mixed fraction is:
11 3/9
However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
11 3/9 = 11 1/3
So, 102/9 as a mixed fraction is 11 1/3.
10.
?
Correct Answer
B. 7 and 2/5
Explanation
The correct answer is 7 and 2/5 because when we add 4 and 4/5 to 2 and 3/5, we get a sum of 37/5 which can be simplified to the mixed fraction 7 and 2/5.