Equivalent Rational Numbers


 
 
Concept Explanation
 

Equivalent Rational Numbers

Equivalent Rational Number:

If a/b  is a rational number and m is a non-zero integer then (a×m)/(b×m) is a rational number equivalent to a/b

For example, rational numbers 12/15

, 20/25, (−28)/(−35), (−48)/(−60) are equivalent to the rational number 4/5

.

We know that if we multiply the numerator and denominator of a fraction by the same positive integer, the value of the fraction does not change.

For example, the fractions 3/7

 and 21/49 are equal because the numerator and the denominator of 21/49 can be obtained by multiplying each of the numerator and denominator of 3/7 by 7

Equivalent rational numbers by division:

If a/b is a rational number and m is a common divisor of a and b, then (a÷m)/(b÷m) is a rational number equivalent to a/b

.For example, rational numbers (−48)/(−60)

, (−28)/(−35), 20/25, 12/15 are equivalent to the rational number 4/5

We know that if we divide the numerator and denominator of a fraction by a common divisor, then the value of the fraction does not change.

For example, 48/64

= (48÷16)/(64÷16) = 34

 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A rational number equivalent to dpi{100} frac{-5}{-3}  is:

Right Option : C
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Question : 2

The equivalent rational number of  large large frac{5}{-13} is ____________

Right Option : A
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Question : 3

The value of y for which the two rational numbers large large large frac{4}{y};and;frac{2}{3}  are equivalent, is _____________

Right Option : B
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Explanation
 
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