Two students use different methods to solve this multiplication problem:

2/5 multiplied by −15 5/8

Read each of their methods below and then enter numbers to correctly complete their work.

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2019-04-08T15:52:08+02:00

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 Method

Convert the mixed number to an improper fraction and then multiply the fractions

so

[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]

slicergiza slicergiza · Answer 2 · 2019-10-22T08:19:05+02:00

Answer:

Given problem,

[tex]\frac{2}{5}\times -15\frac{5}{8}[/tex]

By observing Wyatt method,

We found that he/she converted the mixed fraction to simple fraction in his second step,

Thus, Wyatt's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}\times \frac{-125}{8}=-\frac{25}{4}[/tex]

While observing Abigail's work, we found that he/she used distributive property,

Thus, Abigail's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}.(-15-\frac{5}{8})=\frac{2}{5}(-15)+\frac{2}{5}(-\frac{5}{8})=-6-\frac{1}{4}[/tex]

Hence, the mixed number in simplest form,

[tex]-6\frac{1}{4}[/tex]