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
A rational number equivalent to | |||
| Right Option : C | |||
| View Explanation | |||
The equivalent rational number of | |||
| Right Option : A | |||
| View Explanation | |||
The value of y for which the two rational numbers | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
We started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
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Aman Kumar Shrivastava
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Shreya Shrivastava
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Aman Kumar Shrivastava
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