To solve the problem of multiplying the fractions [tex]\(\frac{6}{5} \times \frac{25}{24}\)[/tex], follow these steps:
1. Multiply the numerators:
The numerator of the first fraction is 6, and the numerator of the second fraction is 25. Therefore, you multiply these together:
[tex]\[
6 \times 25 = 150
\][/tex]
2. Multiply the denominators:
The denominator of the first fraction is 5, and the denominator of the second fraction is 24. Therefore, you multiply these together:
[tex]\[
5 \times 24 = 120
\][/tex]
3. Write down the resulting fraction:
After multiplying, the resulting fraction is:
[tex]\[
\frac{150}{120}
\][/tex]
4. Simplify the fraction:
To simplify the fraction, find the greatest common divisor (GCD) of 150 and 120. The GCD of 150 and 120 is 30.
Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{150 \div 30}{120 \div 30} = \frac{5}{4}
\][/tex]
Therefore, the simplified fraction is:
[tex]\[
\frac{5}{4}
\][/tex]
So, the best answer to the question "Multiply [tex]\(\frac{6}{5} \times \frac{25}{24}\)[/tex]" is:
B. [tex]\(\frac{5}{4}\)[/tex]
