Represent 0-45 as a rational number-4-5-9-2-5-4-9-20-

The correct option is D 9/20 To convert 0.45 into a fraction: 0.45=45/100 nbsp; [Multiplying 0.45 with 100/100] Dividing the nbsp;numerator and the denomi ...

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Standard IX

Mathematics

Expressing Decimals as Rational Numbers

Represent 0.4...

Question

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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Similar questions

Q. Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
(i)

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

(ii)

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

(iii)

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

(iv)

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

Q. Express

\frac{84}{- 147}

as a rational number with denominator

(i) 7
(ii) −49

Represent 0.45 as a rational number.

Is $\frac{- 16}{20} a n d \frac{20}{- 25}$ represent the same rational number?

Q. Does the following pairs represent the same rational number:

\frac{- 16}{20}

and

\frac{20}{- 25}

Represent 0.45 as a rational number.

The correct option is D 920 To convert 0.45 into a fraction: 0.45=45100 [Multiplying 0.45 with 100100] Dividing the numerator and the denominator by 5, we get 45100=920 ∴0.45=920

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
$\frac{45}{100} = \frac{9}{20}$

$∴ 0.45 = \frac{9}{20}$