Shabana has to stitch 35 dresses. So far she has stitched 21 dresses. What fraction of dresses has she stitched?
(a) $\dfrac{7}{9}$
(b) $\dfrac{3}{5}$
(c) $\dfrac{6}{5}$
(d) $\dfrac{3}{7}$

Answer

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Hint: To find the fraction of dresses that Shabana has stitched, we have to divide the number of dresses that she has stitched by the total number of dresses. We are given that the total number of dresses that Shabana has to stitch is 35 and the number of dresses that she has completed is 21. So, we have to divide 21 by 35.

Complete step by step solution:
We have to find the fraction of dresses that Shabana has stitched. We are given that the total number of dresses that Shabana has to stitch is 35. We are also given that she completed 21 dresses. Therefore, to find the fraction of dresses that Shabana has stitched, we have to divide the number of dresses that she has stitched by the total number of dresses.
$\Rightarrow $ Fraction of dresses that Shabana stitched $=\dfrac{21}{35}$
We have to simplify this fraction. Let us cancel the common factor 7 from the numerator and the denominator.
$\Rightarrow $ Fraction of dresses that Shabana stitched $=\dfrac{3}{5}$
Therefore, the fraction of dresses that Shabana stitched is $\dfrac{3}{5}$ .

So, the correct answer is “Option b”.

Note: Students have a chance of making a mistake by dividing the total number of dresses by the number of dresses that Shabana stitched. We know that a fraction represents a part of a whole or, more generally, any number of equal parts. This is why we divided the number of dresses that she has stitched by the total number of dresses.