Question

Write four rational numbers equivalent to the following rational number.

$\frac{- 12}{13}$

Accepted Answer

If the value of two or more rational numbers is the same, they are called equivalent rational numbers.

Given $\frac{- 12}{13}$ .

We need to find four equivalent fractions of the given.

To obtain a rational number equivalent to a given rational, we multiply or divide both the numerator and the denominator of the given rational number by the same non-zero integer.

Now, multiplying the numerator and denominator of the rational number by $2$ we get:

$\frac{- 12}{13} = \frac{- 12 \times 2}{13 \times 2} = \frac{- 24}{26}$

Now, multiplying the numerator and denominator of the rational number by $3$ we get:

$\frac{- 12}{13} = \frac{- 12 \times 3}{13 \times 3} = \frac{- 36}{39}$

Multiplying the numerator and denominator of the rational number by $4$ we get:

$\frac{- 12}{13} = \frac{- 12 \times 4}{13 \times 4} = \frac{- 48}{52}$

Multiplying the numerator and denominator of the rational number by $5$ we get:

$\frac{- 12}{13} = \frac{- 12 \times 5}{13 \times 5} = \frac{- 60}{65}$

Hence, the four equivalent rational numbers of $\frac{- 12}{13}$ are $\frac{- 24}{26}, \frac{- 36}{39}, \frac{- 48}{52}$ and $\frac{- 60}{65}$ .

S K Gupta and Anubhuti Gangal Solutions for Exercise 1: EXERCISE 1 (A)

S K Gupta Mathematics Solutions for Exercise - S K Gupta and Anubhuti Gangal Solutions for Exercise 1: EXERCISE 1 (A)

Questions from S K Gupta and Anubhuti Gangal Solutions for Exercise 1: EXERCISE 1 (A) with Hints & Solutions

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