Sagot :
Answer:
Fraction Word Problems
Let us analyze and answer the given problems above.
1) A class of 40 pupils. 2/5 of them are boys. How many are girls?
To find the number of girls, we have to know the number of boys, then subtract it from the total number of pupils.
Solution:
⅖ of 40 = ⅖ × 40
To find the fraction of a number, change the word "of" to a multiplication sign.
Make the number an improper fraction by writing 1 as its denominator.
⅖ × 40
= ⅖ × 40⁄1 (Cancel 40 and 5; common factor is 5.)
= 2⁄1 × 8⁄1
= 16⁄1 or 16
There are 16 boys.
40 - 16 = 24
There are 24 girls.
2) Rene had Php 960. He spent 1/3 of his money on food. How many were left to him?
To find the amount of money left, we have to know the amount of money he spent, then subtract it from the total amount of money he had at first.
Solution:
⅓ of 960 = ⅓ × 960
⅓ × 960
= ⅓ × 960⁄1
= 960⁄3 or 320
He spent 320 pesos.
960 pesos - 320 pesos = 640 pesos
The amount of money left is 640 pesos.
3) Efren had 480 apples for sale. He sold 3/5 of them. How many were left?
To find the number of apples left, we have to know the number of apples sold, then subtract it from the total number of apples he had at first.
Solution:
⅗ of 480 = ⅗ × 480
⅗ × 480
= ⅗ × 480⁄1 (Cancel 480 and 5; common factor is 5.)
= 3⁄1 × 96⁄1
= 288⁄1 or 288
He sold 288 apples.
480 - 288 = 192
192 apples were left.
4) Find the product of 2/5 and 3/4.
Solution:
⅖ × ¾
⅖ × ¾ (Cancel 2 and 4; common factor is 2.)
= ⅕ × 3⁄2
= 3⁄10
The product is 3⁄10.
5) Two fifth of the worker in a factory are men. The rest are women. If there are 28 men, how many more women than men are there?
There are three steps to know how many more women than men there are. First, we have to know the number of workers. Second, find the number of women. Third, subtract the number of men from the number of women.
Solution:
28 ÷ ⅖
= 28⁄1 ÷ ⅖ (Change the sign to × and give the reciprocal of the second fraction.)
= 28⁄1 × 5⁄2 (Cancel 28 and 2; common factor is 2.)
= 14⁄1 × 5⁄1
= 70⁄1 or 70
There are 70 workers.
70 - 28 = 42
There are 42 women.
42 - 28 = 14
There are 14 more women than men.
Step-by-step explanation: