Equivalent Rational Numbers
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
Charu simplified the number in this manner | |||
| Right Option : B | |||
| View Explanation | |||
If m is a common divisor of a and b, then | |||
| Right Option : D | |||
| View Explanation | |||
The equivalent rational number of | |||
| Right Option : D | |||
| View Explanation | |||
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