Greetings!
Here is how we simplify the following expression:
[tex]=\frac{500}{4\frac{13}{14}}[/tex]
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:
⇒ [tex] (4)(14)=56 [/tex]
→ Add the product to the numerator of the fraction:
⇒ [tex] 56+13=69 [/tex]
The improper fraction would be: [tex] \boxed{\frac{69}{14}}[/tex]
[tex]= \frac{500}{\frac{69}{14}}[/tex]
Flip the numerator and denominator to turn the division into multiplication:
[tex] =(500)(\frac{14}{69}) [/tex]
[tex] =(\frac{500}{1})(\frac{14}{69}) [/tex]
Multiply the numerators of the fractions by each other. Complete the same thing with the denominators. Example: [tex] (\frac{x}{y})(\frac{x}{y})= \frac{(x)(x)}{(y)(y)} [/tex]
[tex]=\frac{(500)(14)}{(1)(69)}[/tex]
[tex]=\frac{7000}{69}[/tex]
The Answer is:
[tex]\boxed{=\frac{7000}{69}}[/tex]
I hope this helped!
-Benjamin
