Question

Express each of the following rational numbers in standard form \[\dfrac{{ - 7}}{{ - 20}}\].

Answer 1

Hint: Rational numbers are the numbers that can be expressed as \[\dfrac{p}{q}\] ratios, where p,q are integers and \[q \ne 0\] .
In this question, we have to express the given rational number in the standard form.
A rational number is said to be in standard form if the common factor between numerator and denominator is only \[1\] and the denominator is always positive. Therefore, we need to remove the negative sign.

Complete step by step answer:
We have to express the rational number \[\dfrac{{ - 7}}{{ - 20}}\] in the standard form.
We know that A rational number is said to be in standard form if the common factor between numerator and denominator is only \[1\] and the denominator is always positive.
Hence, first, we have to remove the negative sign. Since both numerator and denominator have the negative sign we can cancel it with each other.
So, the rational number \[\dfrac{{ - 7}}{{ - 20}}\] can be written as \[\dfrac{7}{{20}}\].
Now, in the given rational number we are able to note that there is no common factor, other than \[1\], available in its numerator and denominator.
Hence the derived result \[\dfrac{7}{{20}}\] is the standard form of \[\dfrac{{ - 7}}{{ - 20}}\].

Note:
To convert the given rational number into standard form, we need to follow the given steps as follows.
First, we need to check whether the denominator of the given rational number is positive or negative. If it is negative, make it positive by multiplying or dividing numerator and denominator with $ - 1$ .
Now find the GCD of both numerator and denominator and divide the numerator and denominator with the GSD.
Now we will obtain the desired standard form.