Express 3/4 as a rational number whose denominator is 20
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Given : Rational number 3/4
To Find : Express 3/4 as a rational number whose denominator is 20
Solution:
To Express 3/4 as a rational number with denominator 20
We will multiply Numerator & denominator with
Hence
3/4
= 3 * 20 / ( 4 * 20 )
Now we will factorize 20
20 = 2 * 2 * 5
and replace numerator with factors
= 3 * 2 * 2 * 5 / ( 4 * 20)
= 3 * 4 * 5 / (4 * 20)
Cancel out 4 from numerator & denominator
= 3 * 5 / 20
= 15/20
15/20 = 3/4
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Step-by-step explanation:
3/4
=3×20/(4×20)
=3×5/20
=15/20=3/4
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