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Multiply

[tex]-\frac{14}{15} \cdot -\frac{6}{7}[/tex]

Answer :

To multiply the fractions [tex]\(-\frac{14}{15}\)[/tex] and [tex]\(-\frac{6}{7}\)[/tex], follow these steps:

1. Multiply the Numerators:
- Start by multiplying the numerators of both fractions:
[tex]\[
-14 \times -6 = 84
\][/tex]
- Since both numbers are negative, their product is positive.

2. Multiply the Denominators:
- Now, multiply the denominators:
[tex]\[
15 \times 7 = 105
\][/tex]

3. Form the New Fraction:
- Combine the results from the two steps to create the new fraction:
[tex]\[
\frac{84}{105}
\][/tex]

4. Simplify the Fraction (if possible):
- Check if 84 and 105 share any common factors to simplify the fraction:
- The greatest common divisor (GCD) of 84 and 105 is 21.
- Divide both the numerator and denominator by 21:
[tex]\[
\frac{84 \div 21}{105 \div 21} = \frac{4}{5}
\][/tex]

5. Convert to Decimal (if needed):
- To convert [tex]\(\frac{4}{5}\)[/tex] to a decimal, divide 4 by 5:
[tex]\[
4 \div 5 = 0.8
\][/tex]

Therefore, the result of multiplying [tex]\(-\frac{14}{15}\)[/tex] by [tex]\(-\frac{6}{7}\)[/tex] is [tex]\(0.8\)[/tex].

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