Question

Amber had 3/8 of a cake left after her party she wrapped a piece that was 1/4 of the original cake for her best friend what freshener part did she have left over for herself

Answer 1

Fraction of cake that was left for Amber =
`(1)/(8)`

Explanation:

Given:

Amber had
`(3)/(8)` of a cake left after her party.

Amber wrapped a piece of cake for her friend that was
`(1)/(4)` of the original cake.

To find the fractional part of cake that was left for Amber.

Solution:

Fraction of cake left Amber had after party =
`(3)/(8)`

Fraction of cake she wrapped for her friend =
`(1)/(4)`

To find the fractional part of cake that was left for Amber we will subtract
`(1)/(4)` of the cake from
`(3)/(8)` of the cake.

∴ Fraction of cake that was left for Amber =
`(3)/(8)-(1)/(4)`

To subtract fractions we need to take LCD

⇒
`(3)/(8)-(1)/(4)`

LCD will be =8 as its the least common multiple of 4 and 8.

To write
`(1)/(4)` as a fraction with common denominator 8 we multiply numerator and denominator with 2.

So, we have

⇒
`(3)/(8)-(1* 2)/(4* 2)`

⇒
`(3)/(8)-( 2)/(8)`

Then we simply subtract the numerators.

⇒
`(3-2)/(8)`

⇒
`(1)/(8)`

∴ Fraction of cake that was left for Amber =
`(1)/(8)`