Question

Find which is greater;

(i) $\frac{3}{4}$or $\frac{15}{16}$

Answer 1

Step1: Making the denominators of two fractions same:

The L.C.M. of the denominators 4 and 16 is 16. So make the denominator of first fraction as 16, i.e,

$\begin{array}{rcl}\frac{3}{4}& =& \frac{3\times 4}{4\times 4}(Multiplyiganddividingby4)\\ & =& \frac{12}{16}\end{array}$

The new fraction is $\frac{12}{16}$.

Step2: Comparing the two fractions:

Since $15>12$,

$\frac{15}{16}>\frac{12}{16}$ i.e. $\frac{15}{16}>\frac{3}{4}$.

Final Answer: The fraction $\frac{15}{16}$is greater than $\frac{3}{4}$.