Question

Will a fraction increase or decrease and by what percent if its numerator is increased by 20% and its denominator is increased by 50%? The fraction will increas...

Answer 1

decrease of 80%

Explanation:

See image.

Use variables for the fraction.

Numerator means the top number.

Denominator means the bottom number.

Change percents to decimals to calculate.

.8 is 80%.

80% will make the whole fraction smaller.

see image

Answer 2

The fraction will decrease by 20%.

You can suppose other fractions too you will get the same answer though.

Explanation:

Let the fraction be 1/2

Now,

1/2

=> 1 + 20% of 1 => 1 + 20/100 => 6/5

=> 2 + 50% of 2 => 2 + 1/2 * 2 => 2 + 1 => 3

so,

6/5/3 => 2/5

Now,

1/2 - 2/5 => 1/10

Now,

1/10/1/2 * 100%

= 1/5 * 100%

= 20%