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Answer :
To solve the problem of finding [tex]\(\frac{5}{7}\)[/tex] of [tex]\(\frac{14}{15}\)[/tex], we need to multiply these two fractions together. Here’s how you can do it step-by-step:
1. Multiply the Numerators: Multiply the top numbers of the fractions:
[tex]\[
5 \times 14 = 70
\][/tex]
2. Multiply the Denominators: Multiply the bottom numbers of the fractions:
[tex]\[
7 \times 15 = 105
\][/tex]
3. Form the New Fraction: The result of the multiplication gives us a new fraction:
[tex]\[
\frac{70}{105}
\][/tex]
4. 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.
5. Divide Both the Numerator and the Denominator by the GCD:
[tex]\[
\frac{70 \div 35}{105 \div 35} = \frac{2}{3}
\][/tex]
Therefore, [tex]\(\frac{5}{7}\)[/tex] of [tex]\(\frac{14}{15}\)[/tex] is [tex]\(\frac{2}{3}\)[/tex], which is approximately equal to [tex]\(0.6667\)[/tex].
1. Multiply the Numerators: Multiply the top numbers of the fractions:
[tex]\[
5 \times 14 = 70
\][/tex]
2. Multiply the Denominators: Multiply the bottom numbers of the fractions:
[tex]\[
7 \times 15 = 105
\][/tex]
3. Form the New Fraction: The result of the multiplication gives us a new fraction:
[tex]\[
\frac{70}{105}
\][/tex]
4. 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.
5. Divide Both the Numerator and the Denominator by the GCD:
[tex]\[
\frac{70 \div 35}{105 \div 35} = \frac{2}{3}
\][/tex]
Therefore, [tex]\(\frac{5}{7}\)[/tex] of [tex]\(\frac{14}{15}\)[/tex] is [tex]\(\frac{2}{3}\)[/tex], which is approximately equal to [tex]\(0.6667\)[/tex].
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