Home » » Simplify $$2 + 4\frac{1}{8} \times \frac{11}{4} - \frac{8}{11} + 4\frac{2}{11}$$...

# Simplify $$2 + 4\frac{1}{8} \times \frac{11}{4} - \frac{8}{11} + 4\frac{2}{11}$$...

### Question

Simplify $$2 + 4\frac{1}{8} \times \frac{11}{4} - \frac{8}{11} + 4\frac{2}{11}$$.

### Options

A) $$61\frac{23}{416}$$

B) $$52\frac{23}{416}$$

C) $$10\frac{3}{416}$$

D) $$10\frac{29}{32}$$

### Explanation:

$$2 + 4\frac{1}{8} \times \frac{11}{4} - \frac{8}{11} + 4\frac{2}{11}$$

$$= 2 + \frac{33}{8} \times \frac{11}{4} - \frac{8}{11} + \frac{46}{11}$$

$$2 + \frac{33}{8} \times \frac{11}{4} - \frac{54}{11}$$

$$= 2 + \frac{33}{8} \times \frac{95}{44}$$

$$= 2 + \frac{3 \times 95}{8 \times 4}$$

$$= 2 + \frac{285}{32}$$

$$2 + 8 \frac{29}{32} = 10\frac{29}{32}$$

## Dicussion (1)

• $$2 + 4\frac{1}{8} \times \frac{11}{4} - \frac{8}{11} + 4\frac{2}{11}$$

$$= 2 + \frac{33}{8} \times \frac{11}{4} - \frac{8}{11} + \frac{46}{11}$$

$$2 + \frac{33}{8} \times \frac{11}{4} - \frac{54}{11}$$

$$= 2 + \frac{33}{8} \times \frac{95}{44}$$

$$= 2 + \frac{3 \times 95}{8 \times 4}$$

$$= 2 + \frac{285}{32}$$

$$2 + 8 \frac{29}{32} = 10\frac{29}{32}$$