Answer

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**Hint:**Now to convert the given fraction into a fraction with numerator – 70 we will have to multiply the numerator and denominator by some appropriate number. to find the appropriate number we will divide – 70 by – 14. Hence we can convert the fraction into the required fraction.

**Complete step by step answer:**

First let us understand the meaning of fractions.

Fractions are nothing but a part of a whole.

For example consider the fraction $\dfrac{3}{4}$ here the fractions means 3 parts out of 4. Now here in this fraction 3 is called the numerator of the fraction and 4 is called the denominator of the fraction.

Now when we multiply any number to the numerator and denominator the value of fraction does not change.

Hence let us say we multiply 2 then $\dfrac{3\times 2}{4\times 2}=\dfrac{6}{8}$ is same fraction as $\dfrac{3}{4}$ .

Hence by multiplying or dividing the numerator and denominator by common number the value of fraction does not change.

Now consider the given fraction $\dfrac{-14}{42}$ . Here the numerator of the fraction is – 14 and the denominator of the fraction is 42.

Now we want the numerator of this fraction to be – 70.

Hence to do so we will multiply the numerator with a number such that the multiplication becomes – 70.

Let the required number be n.

Hence we want $-14\times n=-70$ .

Dividing the equation by – 14 we get n = 5.

Now that we have the required number we will multiply the numerator and denominator by 5.

Hence we get $\dfrac{-14\times 5}{42\times 5}=\dfrac{-70}{210}$ .

Hence the required fraction is $\dfrac{-70}{210}$ .

**Note:**Note that when we add and subtract the fractions their denominator must be the same. For fractions with the same denominator we have $\dfrac{a}{b}\pm \dfrac{c}{b}=\dfrac{a\pm c}{b}$ . If we have fractions with different denominators we will multiply the numerator and denominator by LCM of denominators so that we get common denominators.

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