Question

Compare the fractions and put an appropriate sign.

1. \(\frac{3}{6}\) [ ]\(\frac{5}{6}\)
2. \(\frac{1}{7}\) [ ]\(\frac{1}{4}\)
3. \(\frac{4}{5}\) [ ]\(\frac{5}{5}\)
4. \(\frac{3}{5}\) [ ]\(\frac{3}{7}\)

Answer 1

(a) The denominators of two fractions are the same.

\(\frac{3}{6} [  ] \frac{5}{6}\)

Therefore, the fraction with greater numerator is larger \(\frac{3}{6} [<] \frac{5}{6}\)

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(b)The numerators of two given fractions are the same

\(\frac{1}{7} [ ] \frac{1}{4}\)

So, the fraction that has the lesser denominator is larger \(\frac{1}{7} [<] \frac{1}{4}\)

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(c) The denominators of two given fractions are the same.

\(\frac{4}{5} [ ] \frac{5}{5}\)

So, the fraction that has the greater numerator is larger \(\frac{4}{5} [<] \frac{5}{5}\)

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(d) The numerators of two given fractions are the same.

\(\frac{3}{5} [ ] \frac{3}{7}\)

So, the fraction that has the lesser denominator is the larger \(\frac{3}{5} [>] \frac{3}{7}\)