QuestionAugust 25, 2025

8. Extension:Prove that (10)/(8)=(25)/(20)

8. Extension:Prove that (10)/(8)=(25)/(20)
8. Extension:Prove that (10)/(8)=(25)/(20)

Solution
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Answer

The fractions \frac{10}{8} and \frac{25}{20} are equal because both simplify to \frac{5}{4}. Explanation 1. Simplify the first fraction Simplify \frac{10}{8} by dividing both numerator and denominator by 2. This gives \frac{5}{4}. 2. Simplify the second fraction Simplify \frac{25}{20} by dividing both numerator and denominator by 5. This gives \frac{5}{4}. 3. Compare simplified fractions Both simplified fractions are equal, \frac{5}{4} = \frac{5}{4}.

Explanation

1. Simplify the first fraction<br /> Simplify $\frac{10}{8}$ by dividing both numerator and denominator by 2. This gives $\frac{5}{4}$.<br />2. Simplify the second fraction<br /> Simplify $\frac{25}{20}$ by dividing both numerator and denominator by 5. This gives $\frac{5}{4}$.<br />3. Compare simplified fractions<br /> Both simplified fractions are equal, $\frac{5}{4} = \frac{5}{4}$.
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