Solve 13/4*14^3-300:6/8=

$$1 \frac { 3 } { 4 } \times 14 ^ { 3 } - 300 : \frac { 6 } { 8 } =$$

Evaluate

$$4402$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}\times 14^{3}-\frac{300}{\frac{6}{8}}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}\times 14^{3}-\frac{300}{\frac{6}{8}}$$

Calculate 14 to the power of 3 and get 2744.

$$\frac{7}{4}\times 2744-\frac{300}{\frac{6}{8}}$$

Express \frac{7}{4}\times 2744 as a single fraction.

$$\frac{7\times 2744}{4}-\frac{300}{\frac{6}{8}}$$

Multiply 7 and 2744 to get 19208.

$$\frac{19208}{4}-\frac{300}{\frac{6}{8}}$$

Divide 19208 by 4 to get 4802.

$$4802-\frac{300}{\frac{6}{8}}$$

Divide 300 by \frac{6}{8} by multiplying 300 by the reciprocal of \frac{6}{8}.

$$4802-\frac{300\times 8}{6}$$

Multiply 300 and 8 to get 2400.

$$4802-\frac{2400}{6}$$

Divide 2400 by 6 to get 400.

$$4802-400$$

Subtract 400 from 4802 to get 4402.

$$4402$$

Factor

$$2\times 31\times 71$$