WORD PROBLEMS ON FRACTIONS AND DECIMALS

About "Word problems on fractions and decimals"

Word problems on fractions and decimals :

Let us recall that we can use a number line to find equivalent fractions and decimals.

If a fraction and a decimal are equivalent, they are represented by the same point on a number line.

Let us see how word problems involving fractions and decimals can be solved. 

Word problems on fractions and decimals - Examples

Example 1 : 

Each part of a multipart question on a test is worth the same number of points. The whole question is worth 37.5 points. Daniel got 1/2 of the parts of a question correct. How many points did Daniel receive ?

Solution : 

To find the total points received by Daniel, we have to multiply 1/2 and 37.5 

We can solve this word problem using the two methods explained below. 

Method 1 : 

Step 1 :

Convert the decimal 3.75 as the fraction 75/2

(1/2) x 37.5  =  (1/2) x (75/2) 

Step 2 :

Multiply. Write the product in simplest form.

(1/2) x (75/2)  =  75/4  =  18 3/4

Hence, Daniel received 18 3/4 points. 

Method 2 : 

Step 1 :

Convert the fraction 1/2 as the decimal 0.5

(1/2) x 37.5  =  0.5 x 37.5

Step 2 :

Multiply. 

0.5 x 37.5  =  18.75

Hence, Daniel received 18.75 points. 

Example 2 : 

The bill for a pizza was $14.50. Charles paid for 3/5 of the bill. How much did he pay ?

Solution : 

To find the amount paid by Charles, we have to multiply 3/5 and 14.50 

We can solve this word problem using the two methods explained below. 

Method 1 : 

Step 1 :

Convert the decimal 14.50 as the fraction 29/2

(3/5) x 14.50  =  (3/5) x (29/2) 

Step 2 :

Multiply. Write the product in simplest form.

(3/5) x (29/2)  =  87/10  =  8 7/10

Hence, Charles paid $8 7/10. 

Method 2 : 

Step 1 :

Convert the fraction 3/5 as the decimal 0.6

(3/5) x 14.50  =  0.6 x 14.50

Step 2 :

Multiply. 

0.6 x 14.50  =  8.7

Hence, Charles paid $8.7

After having gone through the stuff given above, we hope that the students would have understood "Fractions and decimals word problems". 

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