Question

What fraction does the shaded part represent?

(A). $$\dfrac{1}{4}$$
(B). $$\dfrac{1}{16}$$
(C). $$\dfrac{4}{13}$$
(D). $$\dfrac{4}{12}$$

Answer 1

Hint: In this question it is given that we have to find the fraction form of the above shaded part. So to find the solution we need to know how to represent a shaded portion into a fraction, so a fraction is the number of shaded parts divided by the number of equal parts.
If the number of shaded parts be a and if the total number of equal parts be b, then the fraction is $$\dfrac{a}{b}$$.

Complete step-by-step solution:
In the above diagram we have given 16 equal parts (rectangle) and among them 4 parts are being shaded.
So we can write a=4 and b=16,
As we know that a fraction is the number of shaded parts divided by the number of equal parts.
So we can write the above shaded part as,
$$\dfrac{a}{b}$$
$$=\dfrac{4}{16}$$
$$=\dfrac{4}{4\times 4} $$
$$=\dfrac{1}{4}$$
Hence the correct option is option A.

Note: While solving this type of problem you need to know that the fraction are numbers used to refer to a part of a whole. This includes measurements that cannot be written as whole numbers, the shaded area also can be represented by a fraction. A fraction is written vertically as two numbers with a line between them.
The denominator (the bottom number) represents the number of equal parts that make up the whole. The numerator (the top number) describes the number of parts that you are describing.