Converting Between Mixed Numbers & Improper Fractions

Practice Problem #1:

Convert 12/5 into a mixed number.

2 2/5

Practice Problem #2:

Convert 2 3/4 into an improper fraction.

11/4

Practice Problem #3:

Convert 23/3 into a mixed number.

7 2/3

Practice Problem #4:

Convert 5 4/7 into an improper fraction.

39/7

Practice Problem #5:

Mrs. Robinson has 5/8 of a cheese pizza, 7/8 of a supreme pizza, and 3/8 of a pepperoni pizza left over after a party. How much pizza does she have left in total?

1 7/8

Practice Problem #6:

Jerome is baking cookies using a recipe that requires 1 1/4 cups of brown sugar. If he makes three batches of cookies, how many times will he have to use his 1/4 cup measure to add enough brown sugar?

15 times

Convert 17/3 into a mixed number

5 2/3

Convert 11/4 into a mixed number.

2 3/4

What is the mixed number equivalent to 55/7?

7 6/7

Express 82/5 as a mixed number.

16 2/5

Write 31/11 as a mixed number.

2 9/11

What is the mixed number equivalent to 59/12?

4 11/12

Convert 27/4 into a mixed number.

6 3/4

Write 3 1/4 as an improper fraction.

13/4

Determine the improper fraction equivalent to 12 2/7.

86/7

Express 14 1/3 as an improper fraction.

43/3

Convert 3 5/6 into an improper fraction.

23/6

Convert 9 2/5 into an improper fraction.

47/5

Convert 18 2/11 into an improper fraction.

200/11

Convert 7 6/13 into an improper fraction.

97/13

A cookie recipe requires 4 2/3 cups of flour.

If each batch of cookies requires 2/3 cups of flour, how many batches of cookies can be made with the given amount of flour?

7 batches

A carpenter uses 5 1/4 feet of wood to build a drawer.

If each drawer requires 3/4 feet of wood, how many drawers can the carpenter build?

7 drawers

A painter covers a house with 7 4/5 gallons of paint.

If each wall requires 3/5 gallons of paint, how many walls was he able to paint?

13 walls

How many tenths are in 4 3/10?

43 tenths

How many fifths are in 3 4/5?

19 fifths

How many sixths are in 5 1/6?

31 sixths