Question

1. please complete the following calculation, similar to the anonymous ‘quiz’ you did in week 1:

$23\frac{1}{6}-14\frac{2}{3}$

Explanation:

Step1: Convert to improper fractions

$23\frac{1}{6} = \frac{23\times6 + 1}{6} = \frac{139}{6}$
$14\frac{2}{3} = \frac{14\times3 + 2}{3} = \frac{44}{3}$

Step2: Get common denominator

$\frac{44}{3} = \frac{44\times2}{3\times2} = \frac{88}{6}$

Step3: Subtract the fractions

$\frac{139}{6} - \frac{88}{6} = \frac{139-88}{6} = \frac{51}{6}$

Step4: Simplify and convert to mixed number

$\frac{51}{6} = \frac{17}{2} = 8\frac{1}{2}$

Answer:

$8\frac{1}{2}$ (or $\frac{17}{2}$)