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: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]