A baker has 5\dfrac145 ​4 ​ ​1 ​​ 5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that are each \dfrac18 ​8 ​ ​1 ​​ start fraction, 1, divided by, 8, end fraction of a whole pie. How many pieces of pie does she have?

Answer:The number of  pieces of pie she have is 42 pieces.Step-by-step explanation:  Given : A baker has [tex]5\frac{1}{4}[/tex] pies in her shop. She cuts the pies in pieces that are each [tex]\frac{1}{8}[/tex] of a whole pie.We have to determine the number of  pieces of pie she have.Since, given the baker has [tex]5\frac{1}{4}[/tex] pies in her shop Simplify mixed fraction, we have, [tex]5\frac{1}{4}=\frac{21}{4}[/tex]Also,  She cuts the pies in pieces that are each [tex]\frac{1}{8}[/tex] of a whole pie.Let the whole pie be represented by x, Then [tex]\frac{21}{4}=\frac{1}{8} \times x[/tex]Now, Solve for x , Multiply both side by 8 , we have, [tex]\frac{21 \times 8}{4}=\frac{8}{8} \times x[/tex]Simplify, we have, [tex]x=42[/tex]Thus, The number of  pieces of pie she have is 42 pieces.