Adding and Subtracting Mixed Numbers

Divide both the numerator and denominator by the same factor. This is how you...

• Find an equivalent Fraction

• Simplify a fraction

• Add Fractions

• Divide Fractions

Answer explanation

Multiplying the numerator and denominator by the same number creates...

• a mixed number

• an improper fraction

• a simplified fraction.

• an equivalent fraction

Answer explanation

Work out how many times the denominator goes into the numerator (this creates the whole number). Then any remainder becomes the new numerator. The denominator stays the same as the original fraction. This is the method for...

• Multiplying Fractions

• Converting and improper fraction into a mixed number

• Subtracting Fractions

• Converting a mixed number into an improper fraction.

Answer explanation

Nora had a piece of wire that was 5 7/8 feet long. She cut a 1 2/10-foot section from the wire. Which measurement is closest to the length of the piece of wire remaining?

• 3 feet

• 4 feet

• 5 feet

• 6 feet

Dultzi and Jack walked home from school. Dultzi walked 3/5 of a mile to her house. Jack walked 3/4 of a mile to a friend’s house and then 1/2 of a mile to his house. How many miles did Dultzi and Jack walk?

• 7/11

• 17/20

• 1 7/20

• 1 17/20

Aspen has 1/4 cup of juice. Her sister has 2/3 cup of juice. Aspen adds the amount and says that together they have 3/7 of a cup of juice. Which comparison explains why Aspen's answer is not correct?

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Grady has 5 yards of wrapping paper. He uses 2/3 yards to wrap a small gift and 2 2/3 yards to wrap a large gift. How much wrapping paper will Grady have left?

• 1 2/3 yards

• 2 2/3 yards

• 3 1/3 yards

• 8 1/3 yards

• 1/2

• 3/4

• 5/8

• 9/16

• He added instead of subtracting.

• He used incorrect equivalent fractions.

• He used mixed numbers instead of whole numbers.

• He put the fraction after the whole number instead of before it.