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Answer :
Sure! Let's simplify each of the fractions step-by-step.
1. Simplifying [tex]\(\frac{3}{15}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 3 are 1 and 3. The factors of 15 are 1, 3, 5, and 15. The largest common factor is 3.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 3.
[tex]\[
\frac{3 \div 3}{15 \div 3} = \frac{1}{5}
\][/tex]
2. Simplifying [tex]\(\frac{8}{24}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 8 are 1, 2, 4, and 8. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest common factor is 8.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 8.
[tex]\[
\frac{8 \div 8}{24 \div 8} = \frac{1}{3}
\][/tex]
3. Simplifying [tex]\(\frac{32}{40}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The largest common factor is 8.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 8.
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
So, the simplified fractions are:
- [tex]\(\frac{3}{15} = \frac{1}{5}\)[/tex]
- [tex]\(\frac{8}{24} = \frac{1}{3}\)[/tex]
- [tex]\(\frac{32}{40} = \frac{4}{5}\)[/tex]
1. Simplifying [tex]\(\frac{3}{15}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 3 are 1 and 3. The factors of 15 are 1, 3, 5, and 15. The largest common factor is 3.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 3.
[tex]\[
\frac{3 \div 3}{15 \div 3} = \frac{1}{5}
\][/tex]
2. Simplifying [tex]\(\frac{8}{24}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 8 are 1, 2, 4, and 8. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest common factor is 8.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 8.
[tex]\[
\frac{8 \div 8}{24 \div 8} = \frac{1}{3}
\][/tex]
3. Simplifying [tex]\(\frac{32}{40}\)[/tex]:
- Find the greatest common divisor (GCD): The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The largest common factor is 8.
- Simplify the fraction: Divide both the numerator and the denominator by their GCD, which is 8.
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
So, the simplified fractions are:
- [tex]\(\frac{3}{15} = \frac{1}{5}\)[/tex]
- [tex]\(\frac{8}{24} = \frac{1}{3}\)[/tex]
- [tex]\(\frac{32}{40} = \frac{4}{5}\)[/tex]
Thanks for taking the time to read Simplify each fraction tex frac 3 15 tex tex frac 8 24 tex tex frac 32 40 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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