Is an equivalent fraction of 12-18-

The correct option is B 2/3Dividing both the numerator and denominator of nbsp;12/18 by 2( a common factor of 12 and 18), we get nbsp;6/9. Now, dividing bot ...

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Standard VI

Mathematics

Equivalent Fractions

is an equival...

Question

is an equivalent fraction of $\frac{12}{18} .$

\frac{1}{3}

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\frac{2}{3}

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\frac{3}{2}

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\frac{2}{8}

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Solution

The correct option is B $\frac{2}{3}$
Dividing both the numerator and denominator of $\frac{12}{18}$ by 2( a common factor of 12 and 18), we get $\frac{6}{9} .$
Now, dividing both the numerator and denominator of $\frac{6}{9}$ by 3(a common factor of 6 and 9), we get $\frac{2}{3} .$
$∴ \frac{12}{18} = \frac{2}{3} .$

i.e., $\frac{12}{18} = \frac{12 \div 2}{18 \div 2} = \frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}$

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, is

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is an equivalent fraction of 1218.

The correct option is B 23Dividing both the numerator and denominator of 1218 by 2( a common factor of 12 and 18), we get 69. Now, dividing both the numerator and denominator of 69 by 3(a common factor of 6 and 9), we get 23. ∴1218=23. i.e., 1218=12÷218÷2=69=6÷39÷3=23

is an equivalent fraction of $\frac{12}{18} .$