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# Convert into decimal fractions:$\dfrac{3}{4}$

Last updated date: 18th Jun 2024
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For solving this question, we can proceed by dividing $3$ by $4$ . The following is the solution of the question by long division method, we get $0.75$ as the quotient.
Hence, the fraction $\dfrac{3}{4}$ is equivalent to $0.75$ in the decimal system.
Alternately method: We can do is make the denominator a power of $10$ by multiplying the numerator and the denominator by same number, so that the value of the fraction remains the same (if we multiply the denominator and the numerator by the same number, we are technically multiplying the fraction by $1$ , which is also known as the multiplicative identity). For finding the number with which we need to multiply the numerator and denominator, we have to look at the multiples of the denominator, in this case, $4$ . The smallest power of $10$ that also a multiple of $4$ , is $100$ , $4\times 25=100$ . Therefore, the number with which we will be multiplying the numerator and the denominator is $25$ .
Therefore, $\dfrac{3}{4}\times \dfrac{25}{25}=\dfrac{75}{100}=0.75$