Question

# The teacher asked the students to read as much as possible of a particular book during the weekend. Balakrishnan read $\dfrac{1}{2}$of the book. Angela read $\dfrac{5}{6}$of the book and Subhalakshmi read $\dfrac{2}{3}$of the book. Arrange the three names in the order from the one who read the most of the least.

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Hint: To compare the fractions, make the denominators of all the fractions same. Then arrange the fractions in decreasing order (according to question).

Therefore, book read by Balakrishnan is, $\dfrac{1}{2} = \dfrac{{1{\text{x3}}}}{{2{\text{x}}3}} = \dfrac{3}{6}$th of the total.
Book read by Angela is $\dfrac{5}{6}$th of the total.
And portion read by Subhalakshmi is $\dfrac{2}{3} = \dfrac{{2{\text{x2}}}}{{3{\text{x2}}}} = \dfrac{4}{6}$th of the total.
Now arranging the fractions in decreasing order we get, $\dfrac{5}{6} > \dfrac{4}{6} > \dfrac{3}{6}$