Answer :

Sure, let's solve the problem step-by-step:

To divide fractions, you need to multiply by the reciprocal. This means flipping the numerator and denominator of the fraction you're dividing by. So we'll solve the problem [tex]\(\frac{13}{15} \div \frac{7}{10}\)[/tex] by changing it to a multiplication:

[tex]\[
\frac{13}{15} \times \frac{10}{7}
\][/tex]

Step 1: Multiply the numerators and the denominators

Multiply the numerators (top numbers) together:
[tex]\[ 13 \times 10 = 130 \][/tex]

Multiply the denominators (bottom numbers) together:
[tex]\[ 15 \times 7 = 105 \][/tex]

So, the fractional multiplication results in:
[tex]\[
\frac{130}{105}
\][/tex]

Step 2: Simplify the fraction

To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator, which is the largest number that divides both numbers evenly.

The GCD of 130 and 105 is 5.

Now, divide both the numerator and the denominator by their GCD:

[tex]\[
\frac{130 \div 5}{105 \div 5} = \frac{26}{21}
\][/tex]

So, the simplest form of [tex]\(\frac{13}{15} \div \frac{7}{10}\)[/tex] is:
[tex]\[
\frac{26}{21}
\][/tex]

Therefore, the answer is [tex]\(\frac{26}{21}\)[/tex].

Thanks for taking the time to read Divide Write your answer in simplest form frac 13 15 div frac 7 10. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada