Question

add $-0.25 + 3\frac{1}{6}+2\frac{1}{12}$. write in simplest form.

Explanation:

Step1: Convert decimals and mixed - numbers to fractions

$-0.25=-\frac{1}{4}$, $3\frac{1}{6}=\frac{3\times6 + 1}{6}=\frac{19}{6}$, $2\frac{1}{12}=\frac{2\times12+1}{12}=\frac{25}{12}$

Step2: Find a common denominator

The common denominator of 4, 6, and 12 is 12.
$-\frac{1}{4}=-\frac{1\times3}{4\times3}=-\frac{3}{12}$, $\frac{19}{6}=\frac{19\times2}{6\times2}=\frac{38}{12}$

Step3: Add the fractions

$-\frac{3}{12}+\frac{38}{12}+\frac{25}{12}=\frac{-3 + 38+25}{12}=\frac{60}{12}$

Step4: Simplify the fraction

$\frac{60}{12}=5$

Answer:

5