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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