Adding/Subtracting Fractions and Mixed Numbers

• 1.13

• 17/15

• 1.4

• 1.29

Answer explanation

To estimate the sum of \(\frac{1}{3}\) and \(\frac{4}{5}\), convert to a common denominator (15): \(\frac{5}{15} + \frac{12}{15} = \frac{17}{15}\). This is approximately 1.13, making \(\frac{17}{15}\) the closest choice.

Part A: Which statement is true?

Tags

CCSS.4.NF.A.2

Which equation represents the best estimate of the sum?

• 1 - 1 = 0

• 0 + 1 = 1

Answer explanation

The equation 1 + \frac{1}{2} = 1\frac{1}{2} correctly estimates the sum by adding 1 and half, resulting in one and a half, which is the best representation of the sum compared to the other options.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Answer explanation

To find expressions equal to \( \frac{3}{4} \), we simplify each choice. \( \frac{5}{6} - \frac{1}{12} = \frac{3}{4} \), and \( 1 + \frac{1}{4} = \frac{5}{4} \) (not equal). \( \frac{7}{20} - \frac{3}{5} = \frac{3}{4} \). Thus, the correct answers are \( \frac{5}{6} - \frac{1}{12} \) and \( \frac{7}{20} - \frac{3}{5} \).

Tags

CCSS.4.NF.B.3A

Answer explanation

To find a common denominator for \(\frac{5}{6}\) and \(\frac{7}{9}\), we can use 36. \(\frac{5}{6} = \frac{30}{36}\) and \(\frac{7}{9} = \frac{28}{36}\). Thus, the correct choices are \(\frac{30}{36}\) and \(\frac{28}{36}\).

Use the given numbers to create the fraction for the total number of Mike’s and Lisa’s made free throw attempts? Use Part A for help. Numbers: 1, 2, 3, 9, 11, 18, 29.

• What fraction can be created using the numbers provided for the total number of Mike’s and Lisa’s made free throw attempts?

• What fraction represents the sum of the digits of the numbers provided?

• Which combination of the given numbers forms a ratio of made to missed free throw attempts?

• Which fraction correctly shows the total made free throw attempts using the provided numbers?

Answer explanation

The correct choice is 'What fraction can be created using the numbers provided for the total number of Mike’s and Lisa’s made free throw attempts?' as it directly addresses the total made attempts using the given numbers.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Answer explanation

To find the total weight, convert the fractions: \(\frac{1}{2} = \frac{9}{18}\) and \(\frac{2}{9} = \frac{4}{18}\). Adding them gives \(\frac{9}{18} + \frac{4}{18} = \frac{13}{18}\) pounds.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Fill in the blank: ? lawn mowed = 3/8 + 1/3.

• 17/24

• 13/24

• 15/24

• 11/24

Answer explanation

To solve for the blank, add the fractions: 3/8 + 1/3. First, find a common denominator (24). Convert: 3/8 = 9/24 and 1/3 = 8/24. Now, 9/24 + 8/24 = 17/24. Thus, the answer is 17/24.

Tags

CCSS.7.NS.A.1C

Part A: Drag a number to each box to rename each fraction using a common denominator. 3/8 = __/24 and 1/3 = __/24.

• 9

• 8

• 5

• 12

• 3

Answer explanation

To convert 3/8 to a fraction with a denominator of 24, multiply both the numerator and denominator by 3, resulting in 9/24. For 1/3, multiply by 8 to get 8/24. Thus, 3/8 = 9/24 and 1/3 = 8/24.

They mowed of the lawn.

• Front yard

• Backyard

• Side yard

Answer explanation

The question specifies that they mowed a part of the lawn. The correct answer is 'Front yard' as it is a common area to mow, while 'Backyard' and 'Side yard' are less likely to be specified in this context.

Tags

CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A