Question

1. $2\frac{1}{2}-\frac{1}{6}=$

$\frac{1}{3}$
$2\frac{1}{3}$
$2\frac{1}{4}$
$\frac{2}{3}$

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$

Step2: Find a common denominator

The common denominator of 2 and 6 is 6. So $\frac{5}{2}=\frac{5\times3}{2\times3}=\frac{15}{6}$

Step3: Subtract the fractions

$\frac{15}{6}-\frac{1}{6}=\frac{15 - 1}{6}=\frac{14}{6}$

Step4: Simplify the fraction

$\frac{14}{6}=\frac{7}{3}=2\frac{1}{3}$

Answer:

$2\frac{1}{3}$