Question

find $\frac{9}{10}-2\frac{3}{8}$. express your answer as a mixed number in simplest form.

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{3}{8}=\frac{2\times8 + 3}{8}=\frac{16+3}{8}=\frac{19}{8}$

Step2: Find a common denominator

The common denominator of 10 and 8 is 40. $\frac{9}{10}=\frac{9\times4}{10\times4}=\frac{36}{40}$, $\frac{19}{8}=\frac{19\times5}{8\times5}=\frac{95}{40}$

Step3: Subtract the fractions

$\frac{36}{40}-\frac{95}{40}=\frac{36 - 95}{40}=-\frac{59}{40}$

Step4: Convert to mixed - number

$-\frac{59}{40}=- 1\frac{19}{40}$

Answer:

$-1\frac{19}{40}$