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Answer :
To reduce the fraction [tex]\(\frac{50}{75}\)[/tex] to its lowest terms, follow these steps:
1. Factor the Numerator and Denominator:
- The numerator is [tex]\(50\)[/tex].
- Prime factorization: [tex]\(50 = 2 \times 5 \times 5\)[/tex].
- The denominator is [tex]\(75\)[/tex].
- Prime factorization: [tex]\(75 = 3 \times 5 \times 5\)[/tex].
2. Identify Common Factors:
- Both the numerator and the denominator have the common factors [tex]\(5 \times 5\)[/tex].
3. Divide Out the Common Factors:
- Cancel out the common factors from both the numerator and the denominator:
- After canceling [tex]\(5 \times 5\)[/tex], you are left with:
[tex]\[
\frac{2}{3}
\][/tex]
4. Conclusion:
- The fraction [tex]\(\frac{50}{75}\)[/tex] reduces to [tex]\(\frac{2}{3}\)[/tex] when expressed in its lowest terms.
1. Factor the Numerator and Denominator:
- The numerator is [tex]\(50\)[/tex].
- Prime factorization: [tex]\(50 = 2 \times 5 \times 5\)[/tex].
- The denominator is [tex]\(75\)[/tex].
- Prime factorization: [tex]\(75 = 3 \times 5 \times 5\)[/tex].
2. Identify Common Factors:
- Both the numerator and the denominator have the common factors [tex]\(5 \times 5\)[/tex].
3. Divide Out the Common Factors:
- Cancel out the common factors from both the numerator and the denominator:
- After canceling [tex]\(5 \times 5\)[/tex], you are left with:
[tex]\[
\frac{2}{3}
\][/tex]
4. Conclusion:
- The fraction [tex]\(\frac{50}{75}\)[/tex] reduces to [tex]\(\frac{2}{3}\)[/tex] when expressed in its lowest terms.
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