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Answer :
To solve the multiplication of fractions [tex]\(\frac{9}{10} \times \frac{13}{15}\)[/tex], follow these steps:
1. Multiply the numerators: Multiply the top numbers of the fractions together.
[tex]\[
9 \times 13 = 117
\][/tex]
2. Multiply the denominators: Multiply the bottom numbers of the fractions together.
[tex]\[
10 \times 15 = 150
\][/tex]
3. Form the new fraction: Combine the results from steps 1 and 2 to form a new fraction.
[tex]\[
\frac{117}{150}
\][/tex]
4. Simplify the fraction: To do this, find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number.
- The GCD of 117 and 150 is 3.
- Divide both the numerator and the denominator by their GCD.
[tex]\[
\frac{117 \div 3}{150 \div 3} = \frac{39}{50}
\][/tex]
Therefore, the simplified result of [tex]\(\frac{9}{10} \times \frac{13}{15}\)[/tex] is [tex]\(\frac{39}{50}\)[/tex].
1. Multiply the numerators: Multiply the top numbers of the fractions together.
[tex]\[
9 \times 13 = 117
\][/tex]
2. Multiply the denominators: Multiply the bottom numbers of the fractions together.
[tex]\[
10 \times 15 = 150
\][/tex]
3. Form the new fraction: Combine the results from steps 1 and 2 to form a new fraction.
[tex]\[
\frac{117}{150}
\][/tex]
4. Simplify the fraction: To do this, find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number.
- The GCD of 117 and 150 is 3.
- Divide both the numerator and the denominator by their GCD.
[tex]\[
\frac{117 \div 3}{150 \div 3} = \frac{39}{50}
\][/tex]
Therefore, the simplified result of [tex]\(\frac{9}{10} \times \frac{13}{15}\)[/tex] is [tex]\(\frac{39}{50}\)[/tex].
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