Question

Simplify: \(\frac{11}{2} + \frac{11}{4} – \frac{11}{8} +  \frac{11}{16}\).

(a) \(\frac{44}{2}\)

(b) \(\frac{44}{4}\)

(c) \(\frac{44}{16}\)

(d) \(\frac{121}{16}\)

I had been asked this question in class test.

My enquiry is from Properties of Rational Numbers topic in section Rational Numbers of Mathematics – Class 8

Answer 1

Right choice is (d) \(\frac{121}{16}\)

The explanation is: In order to simplify the given equation we have to equate the denominators.

We will do this by taking the least common multiple.

Therefore \(\frac{11}{2} + \frac{11}{4} – \frac{11}{8} +  \frac{11}{16} = \frac{88}{16} + \frac{44}{16} – \frac{22}{16} + \frac{11}{16}\)

= \(\frac{121}{16}\).