Question

} " alt="500 \div 4 \frac{13}{14} " align="absmiddle" class="latex-formula">

Answer 1

Greetings!

Here is how we simplify the following expression:

$=\frac{500}{4\frac{13}{14}}$

First, convert the mixed number into a improper fraction. Not sure how to do that? Here is a guide:

→ Multiply the whole number by the denominator of the fraction:

⇒ $(4)(14)=56$

→ Add the product to the numerator of the fraction:

⇒ $56+13=69$

The improper fraction would be: $\boxed{\frac{69}{14}}$

$= \frac{500}{\frac{69}{14}}$

Flip the numerator and denominator to turn the division into multiplication:

$=(500)(\frac{14}{69})$

$=(\frac{500}{1})(\frac{14}{69})$

Multiply the numerators of the fractions by each other. Complete the same thing with the denominators. Example: $(\frac{x}{y})(\frac{x}{y})= \frac{(x)(x)}{(y)(y)}$

$=\frac{(500)(14)}{(1)(69)}$

$=\frac{7000}{69}$

The Answer is:

$\boxed{=\frac{7000}{69}}$

I hope this helped!

-Benjamin