» » » Simplify 2$$\frac{5}{12}$$ - 1$$\frac{7}{8}$$ x $$\frac{6}{5}$$

# Simplify 2$$\frac{5}{12}$$ - 1$$\frac{7}{8}$$ x $$\frac{6}{5}$$

### Question

Simplify 2$$\frac{5}{12}$$ - 1$$\frac{7}{8}$$ x $$\frac{6}{5}$$

### Options

A)
$$\frac{1}{6}$$
B)
$$\frac{13}{20}$$
C)
$$\frac{11}{30}$$
D)
$$\frac{9}{4}$$
E)
$$\frac{5}{3}$$

### Explanation:

2$$\frac{5}{12}$$ - 1$$\frac{7}{8}$$ x $$\frac{6}{5}$$ = $$\frac{29}{12}$$ - $$\frac{15}{8}$$ x $$\frac{6}{5}$$
= $$\frac{29}{12}$$ - $$\frac{9}{4}$$
= $$\frac{29 - 27}{12}$$
= $$\frac{2}{12}$$
= $$\frac{1}{6}$$

## Dicussion (1)

• 2$$\frac{5}{12}$$ - 1$$\frac{7}{8}$$ x $$\frac{6}{5}$$ = $$\frac{29}{12}$$ - $$\frac{15}{8}$$ x $$\frac{6}{5}$$
= $$\frac{29}{12}$$ - $$\frac{9}{4}$$
= $$\frac{29 - 27}{12}$$
= $$\frac{2}{12}$$
= $$\frac{1}{6}$$