Q:

Two students use different methods to solve this multiplication problem: 2/5 multiplied by βˆ’15 5/8 Read each of their methods below and then enter numbers to correctly complete their work.

Accepted Solution

A:
Answer:[tex]-6\frac{1}{4}[/tex]Step-by-step explanation:we have[tex]\frac{2}{5}(-15\frac{5}{8})[/tex]Part 1) Wyatt MethodConvert the mixed number to an improper fraction and then multiply the fractionsso[tex]\frac{2}{5}(-15\frac{5}{8})=(\frac{2}{5})(-\frac{125}{8})=-\frac{250}{40}[/tex]Part 2) Abigail Method[tex]\frac{2}{5}(-15\frac{5}{8})=\frac{2}{5}(-15-\frac{5}{8})=(\frac{2}{5})(-15)+(-\frac{2}{5})(\frac{5}{8})=-6-\frac{10}{40}[/tex]The answer as mixed number is equal to[tex]-6\frac{10}{40}[/tex]simplest form[tex]-6\frac{1}{4}[/tex]