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What will be the vulgar fraction of 0.75 ?

  • A.\(\dfrac{3}{5}\)
  • B.\(\dfrac{3}{4}\)
  • C.\(\dfrac{3}{2}\)
  • D.\(\dfrac{3}{7}\)

Answer: B

A vulgar fraction is a fraction of two whole numbers. Write the decimal over the power of ten matching its number of decimal places, then cancel.

\[ 0.75 = \frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Two decimal places give a denominator of \( 10^{2} = 100 \), and the highest common factor of 75 and 100 is 25.

The distractors are easy to rule out by dividing: \( \tfrac{3}{5} = 0.6 \), \( \tfrac{3}{2} = 1.5 \) and \( \tfrac{3}{7} \approx 0.4286 \).

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