DIVIDING WHOLE NUMBER AND FRACTION

Let us consider an example problem to understand to divide a integer by the fraction.

Example :

Solution :

Find the quotient.

Problem 1 :

2 ÷15

Solution :

2 ÷15

= 2 × 5

= 10

Problem 2 :

3 ÷12

Solution :

3 ÷12

= 3 × 2

= 6

Problem 3 :

6 ÷34

Solution :

6 ÷34= 6 × 43= 243= 8

Problem 4 :

4 ÷56

Solution :

4 ÷56= 4 × 65= 245

Problem 5 :

6 ÷45

Solution :

6 ÷45= 6 × 54= 304= 152

Problem 6 :

10 ÷38

Solution :

10 ÷38= 10 × 83= 803

Problem 7 :

14 ÷ 3

Solution :

14 ÷ 3= 14 × 13= 112

Problem 8 :

13 ÷ 2

Solution :

13 ÷ 2= 13 × 12= 16

Problem 9 :

58 ÷ 5

Solution :

58 ÷ 5= 58 × 15= 540= 18

Problem 10 :

35 ÷ 6

Solution :

35 ÷ 6= 35 × 16= 330= 110

Problem 11 :

34 ÷ 7

Solution :

34 ÷ 7= 34 × 17= 328

Problem 12 :

45 ÷ 10

Solution :

45 ÷ 10= 45 × 110= 450= 225

Compare.

Problem 13 :

5 ÷ 14 ? 4 ÷15

Solution :

5 ÷ 14

= 5 × 4

= 20

4 ÷ 15

= 4 × 5

= 20

5 ÷ 14 = 4 ÷15

Problem 14 :

78 ÷ 6 ? 78 ÷ 8

Solution :

78 ÷ 6= 78 × 16= 74878 ÷ 8= 78 × 18= 76478 ÷ 6 > 78 ÷ 8

Problem 15 :

2 ÷ 32 ? 3 ÷ 23

Solution :

2 ÷32= 2 × 23= 433 ÷23= 3 × 32= 922 ÷ 32 < 3 ÷ 23

Problem 16 :

SMOOTHIES You need 3/4 cup of strawberries to make a smoothie. How many smoothies can you make with 3 cups of strawberries ?

Solution :

Cup of strawberries = 3/4

Number of smoothies = (3/4)/3

= 3/4 × 1/3

= 4

So, 4 smoothies can you make with 3 cups of strawberries.

Problem 17 :

WATERING PLANTS You have 5 gallons of water. You use 1/2 of the water to water a tree. Then you divide the rest of the water equally among 10 plants. How much water does each plant get ?

Solution :

Gallons of water = 5

You use half of the water to water a tree.

= 5 × (1/2 - 1)

= 5 × 1/2

= 5/2

The water equally among 10 plants.

= (5/2)/10

= 5/2 × 1/10

= 1/4

So, each plant get the water is 1/4.

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