# Write $\dfrac{3}{4}$ as the fraction with denominator $44$?

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**Hint:**First we have to define what the terms we need to solve the problem are.

Here, we will be multiplying the given numerator and denominator by the same number to get the equivalent fraction; Equivalent fractions are fractions which represent the same part of a group and number.

**Complete step by step answer:**

A fraction is a number which represents a part of a group. It is written as$\dfrac{a}{b}$, where $a$ is called as the numerator and $b$ is called as the denominator ($b$ cannot be zero at any point).

Obtain the equivalent fraction from the given fraction by either multiplying or dividing both the numerator and denominator by the same number.

We need to identify the relation between the denominator of the given fraction and the denominator of the required equivalent fraction.

We can observe that $4 \times 11 = 44$ which the needed denominator from the given fraction is

This means that multiplying the denominator $4$ by $11$ gives us the result is $44$.

Hence now we will multiply both the numerator and denominator of the fraction $\dfrac{3}{4}$ by $11$ to get the required equivalent fraction with denominator $44$.

Therefore $\dfrac{3}{4} \times \dfrac{{11}}{{11}} = \dfrac{{33}}{{44}}$ which will be required result.

**Note:**You can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number.

We can also solve given problem in another way,

Let the numerator of the required equivalent fraction as $x$and equate the fraction, that is $\dfrac{3}{4} = \dfrac{x}{{44}}$

And find the x by cancelling the denominator we get the desire result $x = 33$

Thus, we get $\dfrac{{33}}{{44}}$.

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