Question

Find answers to the following. Write and indicate how you solved them. 

1.  Is \(\frac{5}{9}\) equal to \(\frac{4}{5}\) ? 
2.  Is \(\frac{9}{ 16}\) equal to \(\frac{5}{9}\) ? 
3.  Is \(\frac{4}{5}\) equal to \(\frac{16}{20}\) ? 
4.  Is \(\frac{1}{15}\) equal to \(\frac{4}{30}\) ?

Answer 1

(a) \(\frac{5}{9}\) and \(\frac{4}{5}\)

Cross-multiply the denominators, we get

\(5 × 5 = 25\) and \(4 × 9 = 36\)

 \(25 ≠ 36\) , the fractions are also not equal.

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(b) \(\frac{9}{ 16}\) and \(\frac{5}{9}\)

Cross-multiply the denominators, we get

\(9 × 9 = 81\) and \(16 × 5 =80\)

\(81 ≠ 80\) , the fractions are also not equal.

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(c) \(\frac{4}{5}\) and \(\frac{16}{20}\)

Cross-multiply the denominators, we get

\(4 × 20 = 80\) and \(5 × 16 = 80\)

\(80 = 80\), the fractions are equal.

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(d) \(\frac{1}{15}\) and \(\frac{4}{30}\)

Cross-multiply the denominators, we get

\(1 × 30 = 30\) and \(4 × 15 = 60\)

 \(30 ≠ 60\), the fractions are also equal.