Question

Express the following rational numbers in standard form :

a) -35/42
b) 24/-42

EXPLAIN STEP BY STEP
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Answer 1

Given: The numbers are

$a) \ -35/42\\b) \ 24/-42$

We have to find the standard form of the above numbers.

• For this first, we will find the GCD (or HCF) of the numerator and denominator.
• And then we will Divide both the numerator and denominator by the GCD.
• Then we will get the reduced fraction of the above number.

We are solving in the following way:

We have,

$a) \ -35/42\\b) \ 24/-42$

$a) \ -35/42$

As we know that the HCF of$-35\ and\ 42$ is$7.$

So,

$=>-(\frac{35\div7}{42\div7}) \\\\=>-(\frac{5}{6} )$

Now,

$b) \ 24/-42$

The HCF of$24\ and \ 42\ is\ 6$.

So,

$=>-(\frac{24\div6}{42\div 6} )\\\\=>-(\frac{4}{7} )$

Hence, we get the standard form of$a) \ -35/42$ is$-(5/6)$ and$b) \ 24/-42$ is$-(\frac{4}{7} )$