Question

How do you write $ - 7\dfrac{5}{{12}}$?

Answer 1

Hint: In this question, the mixed fraction is given. And we have to write that mixed fraction into an improper fraction.
To convert mixed fractions to improper fractions, we will follow the below steps.
> Multiply the whole number part by the denominator of the fraction.
> Add that to the numerator of the fraction.
> Then write the result on the top of the denominator.

Complete step-by-step answer:
In this question, the mixed fraction $ - 7\dfrac{5}{{12}}$ is given.
Here, 7 is the whole number part.
5 is the numerator of the fraction.
And 12 is the denominator of the fraction.
 Now, let us convert mixed fraction $ - 7\dfrac{5}{{12}}$ to improper fraction.
The first step is to multiply the whole number part by the denominator of the fraction.
Here, 7 is the whole number part. And 12 is the denominator of the fraction.
Therefore,
$ \Rightarrow \left( 7 \right) \times 12$
That is equal to
$ \Rightarrow 84$
The second step is to add that to the numerator of the fraction.
Here, the numerator is 5.
Add 84 to 5.
$ \Rightarrow 84 + 5$
That is equal to
$ \Rightarrow 89$
Now, the third step is to write the result on the top of the denominator.
The result is 89 and the denominator is 12.
That is equal to
$ \Rightarrow \dfrac{{89}}{{12}}$

Hence, the answer is $ - \dfrac{{89}}{{12}}$.

Note:
An improper fraction as a fraction whose numerator is greater than its denominator. It is usually “top-heavy”.
To convert improper fractions to mixed fractions, we will follow the below steps:
> Divide the numerator by the denominator.
> Write down the whole number answer.
> Then write down any remainder above the denominator.
> From these steps, we can get our mixed fraction back.
> Divide the numerator by the denominator.
$ \Rightarrow - \dfrac{{89}}{{12}}$
The whole number of the answers is 7.
The remainder is 5.
So, the answer is $ - 7\dfrac{5}{{12}}$.