Verified Answer :

3/5 ÷ 4/7
3/5 × 7/4 = 21/20

21/20 ÷ 9/10
21/20 × 10/9 = 210/180 = 7/6 =

1 1/6

When the fraction \(\frac{3}{5}\) divided by \(\frac{4}{7}\) divided by \(\frac{9}{10}\) is \(1\frac{1}{6}\)

Given that,

  • The fractions are \(\frac{3}{5}, \frac{4}{7}, and \frac{9}{10}\)

First, we divide the first two fractions i.e.

\(= \frac{3}{5} \times \frac{7}{4} \\\\= \frac{21}{20}\)

Now multiply the given fraction with the third one by reciprocal it.

\(= \frac{21}{20} \times \frac{10}{9} \\\\= \frac{210}{180} \\\\= \frac{7}{6}\\\\\)

\(= 1\frac{1}{6}\)


Therefore we can conclude that when the fraction \(\frac{3}{5}\) divided by \(\frac{4}{7}\) divided by \(\frac{9}{10}\) is \(1\frac{1}{6}\)

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