Solve 7(8/6+frac{5{6-3}})+(5*6)

$$7( \frac{ 8 }{ 6+ \frac{ 5 }{ 6-3 } } )+(5 \times 6)$$

Evaluate

$$\frac{858}{23}\approx 37.304347826$$

Solution Steps

Subtract 3 from 6 to get 3.

$$7\times \frac{8}{6+\frac{5}{3}}+5\times 6$$

Convert 6 to fraction \frac{18}{3}.

$$7\times \frac{8}{\frac{18}{3}+\frac{5}{3}}+5\times 6$$

Since \frac{18}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$7\times \frac{8}{\frac{18+5}{3}}+5\times 6$$

Add 18 and 5 to get 23.

$$7\times \frac{8}{\frac{23}{3}}+5\times 6$$

Divide 8 by \frac{23}{3} by multiplying 8 by the reciprocal of \frac{23}{3}.

$$7\times 8\times \frac{3}{23}+5\times 6$$

Express 8\times \frac{3}{23} as a single fraction.

$$7\times \frac{8\times 3}{23}+5\times 6$$

Multiply 8 and 3 to get 24.

$$7\times \frac{24}{23}+5\times 6$$

Express 7\times \frac{24}{23} as a single fraction.

$$\frac{7\times 24}{23}+5\times 6$$

Multiply 7 and 24 to get 168.

$$\frac{168}{23}+5\times 6$$

Multiply 5 and 6 to get 30.

$$\frac{168}{23}+30$$

Convert 30 to fraction \frac{690}{23}.

$$\frac{168}{23}+\frac{690}{23}$$

Since \frac{168}{23} and \frac{690}{23} have the same denominator, add them by adding their numerators.

$$\frac{168+690}{23}$$

Add 168 and 690 to get 858.

$$\frac{858}{23}$$

Factor

$$\frac{2 \cdot 3 \cdot 11 \cdot 13}{23} = 37\frac{7}{23} = 37.30434782608695$$