College

We appreciate your visit to Perform the indicated operation If possible reduce the answer to its lowest terms left frac 5 7 right left frac 14 15 right left frac. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Perform the indicated operation. If possible, reduce the answer to its lowest terms.

\[ \left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) \]

\[ \left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) = \square \]

(Simplify your answer.)

Answer :

Let's work through the problem step-by-step to perform the operation and simplify the result.

1. Multiply the Fractions:

To multiply two fractions, multiply their numerators together and their denominators together.

[tex]\[
\left(-\frac{5}{7}\right) \times \left(-\frac{14}{15}\right)
= \frac{(-5) \times (-14)}{7 \times 15}
\][/tex]

2. Calculate the Numerator and Denominator:

- Numerator: [tex]\((-5) \times (-14) = 70\)[/tex]
- Denominator: [tex]\(7 \times 15 = 105\)[/tex]

So, the fraction becomes:

[tex]\[
\frac{70}{105}
\][/tex]

3. Simplify the Fraction:

To simplify [tex]\(\frac{70}{105}\)[/tex], find the greatest common divisor (GCD) of 70 and 105. The GCD of 70 and 105 is 35.

Divide both the numerator and the denominator by their GCD:

[tex]\[
\frac{70 \div 35}{105 \div 35} = \frac{2}{3}
\][/tex]

So, the simplified form of the product [tex]\(\left(-\frac{5}{7}\right) \times \left(-\frac{14}{15}\right)\)[/tex] is [tex]\(\frac{2}{3}\)[/tex].

Thanks for taking the time to read Perform the indicated operation If possible reduce the answer to its lowest terms left frac 5 7 right left frac 14 15 right left frac. 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