Answer :
To solve the problem [tex]\frac{5}{9} \cdot \frac{12}{25}[/tex], you need to multiply the two fractions together. Here’s a step-by-step explanation:
Multiply the numerators: The numerator of the first fraction is 5, and the numerator of the second fraction is 12. Multiply these together:
[tex]5 \times 12 = 60[/tex]Multiply the denominators: The denominator of the first fraction is 9, and the denominator of the second fraction is 25. Multiply these together:
[tex]9 \times 25 = 225[/tex]Form the new fraction: Using the products from the steps above, you have a new fraction:
[tex]\frac{60}{225}[/tex]Simplify the fraction: To simplify, find the greatest common divisor (GCD) of the numerator and the denominator. For 60 and 225, the GCD is 15.
Divide the numerator and the denominator by their GCD:
[tex]\frac{60 \div 15}{225 \div 15} = \frac{4}{15}[/tex]
Thus, [tex]\frac{5}{9} \cdot \frac{12}{25} = \frac{4}{15}[/tex]. This is the simplified form of your answer.