Respuesta :
Answer:
Fraction of cake that was left for Amber = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Given:
Amber had [tex]\frac{3}{8}[/tex] of a cake left after her party.
Amber wrapped a piece of cake for her friend that was [tex]\frac{1}{4}[/tex] 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 = [tex]\frac{3}{8}[/tex]
Fraction of cake she wrapped for her friend = [tex]\frac{1}{4}[/tex]
To find the fractional part of cake that was left for Amber we will subtract [tex]\frac{1}{4}[/tex] of the cake from [tex]\frac{3}{8}[/tex] of the cake.
∴ Fraction of cake that was left for Amber = [tex]\frac{3}{8}-\frac{1}{4}[/tex]
To subtract fractions we need to take LCD
⇒ [tex]\frac{3}{8}-\frac{1}{4}[/tex]
LCD will be =8 as its the least common multiple of 4 and 8.
To write [tex]\frac{1}{4}[/tex] as a fraction with common denominator 8 we multiply numerator and denominator with 2.
So, we have
⇒ [tex]\frac{3}{8}-\frac{1\times 2}{4\times 2}[/tex]
⇒ [tex]\frac{3}{8}-\frac{ 2}{8}[/tex]
Then we simply subtract the numerators.
⇒ [tex]\frac{3-2}{8}[/tex]
⇒ [tex]\frac{1}{8}[/tex]
∴ Fraction of cake that was left for Amber = [tex]\frac{1}{8}[/tex]
