Equivalent Rational Numbers
Equivalent Rational Numbers
The rational numbers which represent the same value when converted to the lowest form are called Equivalent Rational Numbers. In case of a fraction if we multiply or divide the numerator and the denominator with the same number we get a rational number whose value is the same as the original fraction when it is converted to the lowest form are called Equivalent Rational Numbers
Equivalent Rational Numbers In Case of Multiplication:
the rational obtained by multiplying the numerator and the denominator of the original rational number is known as Equivalent Rational Numbers In Case of Multiplication. If is a rational number and m is a non-zero integer, then
Rational number is a rational number equivalent to
.
Illustration: Find the equivalent rational number for
Solution:Let us multiply the numerator and the denominator with 3
Hence is equivalent to
Equivalent Rational Numbers In Case of Division:
The rational obtained by dividing the numerator and the denominator of the original rational number is known as Equivalent Rational Numbers In Case of Division. If is a rational number and m is a non-zero integer and is a common divisor of p and q, then
Rational number is a rational number equivalent to
.
Illustration: Find the equivalent rational number for
Solution:Let us divide the numerator and the denominator with 3
Hence is equivalent to
Illustration: Find four equivalent to the rational number
Solution: Let us fine the equivalent rational numbers
Hence are the four equivalent rational number to the rational number
.
A rational number equivalent to | |||
| Right Option : C | |||
| View Explanation | |||
If m is a common divisor of a and b, then | |||
| Right Option : D | |||
| View Explanation | |||
The value of x for which the two rational numbers | |||
| Right Option : C | |||
| View Explanation | |||
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