Solve (6*7/89)*3^2+7*8

$$( \frac { 6 \times 7 } { 89 } ) \times 3 ^ { 2 } + 7 \cdot 8$$

Evaluate

$$\frac{5362}{89}\approx 60.247191011$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{42}{89}\times 3^{2}+7\times 8$$

Calculate 3 to the power of 2 and get 9.

$$\frac{42}{89}\times 9+7\times 8$$

Express \frac{42}{89}\times 9 as a single fraction.

$$\frac{42\times 9}{89}+7\times 8$$

Multiply 42 and 9 to get 378.

$$\frac{378}{89}+7\times 8$$

Multiply 7 and 8 to get 56.

$$\frac{378}{89}+56$$

Convert 56 to fraction \frac{4984}{89}.

$$\frac{378}{89}+\frac{4984}{89}$$

Since \frac{378}{89} and \frac{4984}{89} have the same denominator, add them by adding their numerators.

$$\frac{378+4984}{89}$$

Add 378 and 4984 to get 5362.

$$\frac{5362}{89}$$

Factor

$$\frac{2 \cdot 7 \cdot 383}{89} = 60\frac{22}{89} = 60.247191011235955$$