Home » » Simplify 7$$\frac{1}{12}$$ - 4$$\frac{3}{2}$$ + 2$$\frac{1}{2}$$

# Simplify 7$$\frac{1}{12}$$ - 4$$\frac{3}{2}$$ + 2$$\frac{1}{2}$$

### Question

Simplify 7$$\frac{1}{12}$$ - 4$$\frac{3}{2}$$ + 2$$\frac{1}{2}$$

### Options

A) 4

B) 4$$\frac{1}{6}$$

C) 4$$\frac{5}{6}$$

D) 5$$\frac{1}{6}$$

### Explanation:

7$$\frac{1}{12}$$ - 4$$\frac{3}{2}$$ + 2$$\frac{1}{2}$$
Take care of the whole numbers
7 - 4 + 2 = 5
therefore, 5$$\frac{1}{12}$$ - $$\frac{3}{4}$$ + $$\frac{1}{2}$$
LCM = 12
5$$\frac{1 - 9 + 6}{12}$$
4$$\frac{13 - 9 + 6}{12}$$
= 4$$\frac{10}{12}$$
or = 4$$\frac{5}{6}$$

## Discussion (2)

• why don't we convert the mixed fraction into an improper fraction before using BODMAS

• 7$$\frac{1}{12}$$ - 4$$\frac{3}{2}$$ + 2$$\frac{1}{2}$$
therefore, 5$$\frac{1}{12}$$ - $$\frac{3}{4}$$ + $$\frac{1}{2}$$
5$$\frac{1 - 9 + 6}{12}$$
4$$\frac{13 - 9 + 6}{12}$$
= 4$$\frac{10}{12}$$
or = 4$$\frac{5}{6}$$