Arrange \(\frac{3}{5}\),\(\frac{9}{16}\), \(\frac{34}{59}\) and \(\frac{71}{97}\) in ascending order of magnitude.
 

  • A \(\frac{3}{5}\), \(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{71}{97}\)
  • B \(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{3}{5}\) , \(\frac{71}{97}\)
  • C \(\frac{3}{5}\), \(\frac{9}{16}\), \(\frac{71}{97}\), \(\frac{34}{59}\)
  • D \(\frac{9}{16}\), \(\frac{3}{5}\), \(\frac{71}{97}\), \(\frac{34}{59}\)
jamb 1978mathematics

The correct answer is B. \(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{3}{5}\) , \(\frac{71}{97}\)

To arrange the fractions \(\frac{3}{5}\), \(\frac{9}{16}\), \(\frac{34}{59}\), and \(\frac{71}{97}\) in ascending order, we can compare their decimal equivalents:

\(\frac{3}{5} = 0.6\)

\(\frac{9}{16} = 0.5625\)

\(\frac{34}{59} = 0.57627\)

\(\frac{71}{97} = 0.73196\)

So, in ascending order, the fractions are:

\(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{3}{5}\), \(\frac{71}{97}\)

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