Represent 0.45 as a rational number.

$\frac{4}{5}$

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$\frac{9}{2}$

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$\frac{5}{4}$

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$\frac{9}{20}$

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Solution

The correct option is D
$\frac{9}{20}$

To convert 0.45 into a fraction:
$0.45 = \frac{45}{100}$
[Multiplying 0.45 with $\frac{100}{100}$ ]

Dividing the numerator and the denominator by 5, we get
$\frac{45}{100} = \frac{9}{20}$

$∴ 0.45 = \frac{9}{20}$

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Question 6 (ii)

Which of the following pairs represent the same rational numbers:
$\frac{- 16}{20} a n d \frac{20}{- 25}$

{[{(\frac{- 3}{2})}^{- 2}]}^{- 3}

(2^{5} \div 2^{8}) \times 2^{- 7}

[{(\frac{2}{3})}^{- 3} \times {(\frac{4}{9})}^{- 1}] \div {(\frac{2}{3})}^{- 4}

\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}

\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}

\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}

\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}

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