Fraction Review

Noah and Harper are working together on a math puzzle! They found this problem, but something seems off. Can you help them spot the mistake, explain it, and solve it correctly?

Noah wrote: 1/4 + 2/3 = 4/7
What was the mistake? What is the correct solution?

• The mistake was adding numerators and denominators directly. The correct solution is 1/4 + 2/3 = 11/12.

• The mistake was multiplying numerators and denominators. The correct solution is 1/4 + 2/3 = 5/7.

• The mistake was subtracting fractions. The correct solution is 1/4 + 2/3 = 7/12.

• The mistake was dividing fractions. The correct solution is 1/4 + 2/3 = 3/7.

Answer explanation

Noah incorrectly added the numerators and denominators directly. To add fractions, find a common denominator. The correct solution is 1/4 + 2/3 = 3/12 + 8/12 = 11/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Instructions: The problems below are WRONG. Identify the mistake, explain it, and then solve the problem correctly.

Maya and Avery are working together on a math puzzle. They try to add fractions and write: 4/9 + 3/9 = 7/18. Can you spot what went wrong in their solution and help them solve it correctly?

• The denominators were incorrectly added; the correct answer is 7/9.

• The numerators were incorrectly subtracted; the correct answer is 1/9.

• The fractions were multiplied instead of added; the correct answer is 12/81.

• The fractions were divided instead of added; the correct answer is 4/27.

Answer explanation

Maya and Avery incorrectly added the denominators. To add fractions, the denominators must remain the same. The correct addition is 4/9 + 3/9 = (4+3)/9 = 7/9.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Ethan and Kai are solving a math puzzle together. Ethan says that 1/6 + 7/12 = 9/12, but Kai isn't sure that's right. Can you help them spot Ethan's mistake and find the correct answer?

• The denominators were not made common; the correct answer is 1/6 + 7/12 = 9/12.5

• The numerators were added incorrectly; the correct answer is 1/6 + 7/12 = 8/18

• The denominators were not made common; the correct answer is 1/6 + 7/12 = 3/12 + 7/12 = 10/12 = 5/6

• The fractions were subtracted instead of added; the correct answer is 1/6 + 7/12 = 6/12

Answer explanation

Ethan's mistake was not making the denominators common. The correct calculation is 1/6 = 2/12, so 2/12 + 7/12 = 9/12, which simplifies to 5/6.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Instructions: William and Maya are solving a math puzzle together! But they made a mistake. Can you spot it, explain what went wrong, and help them solve it correctly?

William wrote: 1/4 + 8/12 = 11/12
What was the mistake? What is the correct solution?

• The denominators were not made the same; the correct answer is 1/4 + 8/12 = 5/6.

• The numerators were added incorrectly; the correct answer is 1/4 + 8/12 = 9/16.

• The fractions were subtracted instead of added; the correct answer is 1/4 + 8/12 = 7/12.

• The answer is correct; 1/4 + 8/12 = 11/12.

Answer explanation

William and Maya did not find a common denominator for the fractions. The correct calculation is 1/4 + 8/12 = 3/12 + 8/12 = 11/12, but simplifying gives 5/6.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Henry and Zoe are solving a math puzzle together. Henry says 4/6 - 2/3 = 1/3, but Zoe thinks there’s a mistake. Can you help them figure out what went wrong and what the correct answer is?

• The fractions were not converted to a common denominator; the correct answer is 0.

• The subtraction was done incorrectly; the correct answer is 1/6.

• The fractions were added instead of subtracted; the correct answer is 2/3.

• The answer is correct as given.

Answer explanation

Henry incorrectly subtracted the fractions. To solve 4/6 - 2/3, convert 2/3 to 4/6. Thus, 4/6 - 4/6 = 0. The correct answer is 1/6, as the subtraction was done incorrectly.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2