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julsineya [31]
4 years ago
14

} " alt="500 \div 4 \frac{13}{14} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lisabon 2012 [21]4 years ago
8 0

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. <em>Example: (\frac{x}{y})(\frac{x}{y})= \frac{(x)(x)}{(y)(y)}</em>

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

=\frac{7000}{69}

The Answer is:

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

I hope this helped!

-Benjamin

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