7th Grade Math

Lesson 3D Multiply and Divide Fractions 171

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Examples 1 and 2 Divide. Write in simplest form.

11. 
    

    83 ÷ ^67 12. 95 ÷ 65 13. - ^23 ÷ (^) (- ^12 ) 14. - 87 ÷ ^3
    4

    
    


12. 
    

    6 ÷ (- ^12 ) 16. - ^49 ÷ (- 2 ) 17. 2 32 ÷ 4 18. 5 ÷ ^13

    
    

Example 3 19. FOOD Mason has 8 cups of popcorn kernels to divide into _^23 -cup

portions. How many portions will there be?

20. MOVIES Cheryl is organizing her movie collection. If each movie case is
    _^34 inch wide, how many movies can fit on a shelf 5 feet wide?

Divide. Write in simplest form.

21. 32 ÷ 2 12 22. ^89 ÷ 5 13 23. - 4 21 ÷ 6 ^3
    4
    24. - 5 72 ÷ (- 2 ^17 )

2525 3 _ 45 ÷ 1 _^13 26. 9 _ 21 ÷ 2 _^56 27. - 5 _ 15 ÷ _^23 28. - 6 _^78 ÷ (- _^3

4

(^) )

29. ICE CREAM Vinh bought 4 ^12 gallons of ice cream to serve at his birthday
    party. If a pint is ^18 of a gallon, how many pint-sized servings can be made?


30. BEVERAGES William has 8 ^14 cups of fruit juice. If he divides the juice
    into ^34 -cup servings, how many servings will he have?


31. BIRDS Use the table that gives information
    Bird Weight (lb)Maximun

Golden Eagle^13 _ 109

Northern

Bald Eagle^9

_^9

10

Red-Tailed Hawk^3 _^12

about several types of birds of prey. Write

your answers in simplest form.

a. How many times as heavy is the Golden

Eagle as the Red-Tailed Hawk?

b. How many times as heavy is the Golden

Eagle as the Northern Bald Eagle?

Draw a model of each verbal expression and then evaluate the expression.

Explain how the model shows the division process.

B 32. one half divided by two fifths

33. five eighths divided by one fourth


34. one and three eighths divided by one half


35. two and one sixth divided by two thirds


36. PIZZA A concession stand sells three Sausage

Cheese

Supreme

types of pizza. The diagram shows

how much pizza of each type was left

when the concession stand closed.

If the pizza is sold in slices that are

_^18 of a whole pizza, how many more

slices can be sold?

Real-World Link

Red-tailed hawks

are large, stocky

birds. Females

are larger than

males and can

weigh up to

3 _^12 pounds.

RR

168_173_C3L3_895130.indd 171 12/31/09 12:44 PM