Answer :
To find the product of two fractions, you simply multiply their numerators and then multiply their denominators.
Here's how you can do it step-by-step for the fractions [tex]\(\frac{12}{25}\)[/tex] and [tex]\(\frac{15}{16}\)[/tex]:
1. Multiply the numerators:
- Take the numerator of the first fraction (12) and multiply it by the numerator of the second fraction (15).
- [tex]\(12 \times 15 = 180\)[/tex].
2. Multiply the denominators:
- Take the denominator of the first fraction (25) and multiply it by the denominator of the second fraction (16).
- [tex]\(25 \times 16 = 400\)[/tex].
3. Write the result as a fraction:
- The product of the numerators gives you the numerator of the resulting fraction, and the product of the denominators gives you the denominator.
- Therefore, the fraction is [tex]\(\frac{180}{400}\)[/tex].
4. Simplify the fraction, if possible:
- We can simplify the fraction [tex]\(\frac{180}{400}\)[/tex] by finding the greatest common divisor (GCD) of 180 and 400.
- The GCD of 180 and 400 is 20.
- Divide both the numerator and the denominator by this GCD:
[tex]\(\frac{180 \div 20}{400 \div 20} = \frac{9}{20}\)[/tex].
So, the simplified product of the fractions [tex]\(\frac{12}{25}\)[/tex] and [tex]\(\frac{15}{16}\)[/tex] is [tex]\(\frac{9}{20}\)[/tex]. If you convert this to a decimal, it equals 0.45.
Here's how you can do it step-by-step for the fractions [tex]\(\frac{12}{25}\)[/tex] and [tex]\(\frac{15}{16}\)[/tex]:
1. Multiply the numerators:
- Take the numerator of the first fraction (12) and multiply it by the numerator of the second fraction (15).
- [tex]\(12 \times 15 = 180\)[/tex].
2. Multiply the denominators:
- Take the denominator of the first fraction (25) and multiply it by the denominator of the second fraction (16).
- [tex]\(25 \times 16 = 400\)[/tex].
3. Write the result as a fraction:
- The product of the numerators gives you the numerator of the resulting fraction, and the product of the denominators gives you the denominator.
- Therefore, the fraction is [tex]\(\frac{180}{400}\)[/tex].
4. Simplify the fraction, if possible:
- We can simplify the fraction [tex]\(\frac{180}{400}\)[/tex] by finding the greatest common divisor (GCD) of 180 and 400.
- The GCD of 180 and 400 is 20.
- Divide both the numerator and the denominator by this GCD:
[tex]\(\frac{180 \div 20}{400 \div 20} = \frac{9}{20}\)[/tex].
So, the simplified product of the fractions [tex]\(\frac{12}{25}\)[/tex] and [tex]\(\frac{15}{16}\)[/tex] is [tex]\(\frac{9}{20}\)[/tex]. If you convert this to a decimal, it equals 0.45.