Solve 1/6*310quad4/7*310quad8/8*310

$$\frac { 1 } { 6 } \times 310 \quad \frac { 4 } { 7 } \times 310 \quad \frac { 8 } { 8 } \times 310$$

Evaluate

$$\frac{104797670}{21}\approx 4990365.238095238$$

Solution Steps

Multiply 310 and 7 to get 2170.

$$\frac{1}{6}\times \frac{2170+4}{7}\times \frac{310\times 8+8}{8}\times 310$$

Add 2170 and 4 to get 2174.

$$\frac{1}{6}\times \frac{2174}{7}\times \frac{310\times 8+8}{8}\times 310$$

Multiply \frac{1}{6} times \frac{2174}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2174}{6\times 7}\times \frac{310\times 8+8}{8}\times 310$$

Do the multiplications in the fraction \frac{1\times 2174}{6\times 7}.

$$\frac{2174}{42}\times \frac{310\times 8+8}{8}\times 310$$

Reduce the fraction \frac{2174}{42} to lowest terms by extracting and canceling out 2.

$$\frac{1087}{21}\times \frac{310\times 8+8}{8}\times 310$$

Multiply 310 and 8 to get 2480.

$$\frac{1087}{21}\times \frac{2480+8}{8}\times 310$$

Add 2480 and 8 to get 2488.

$$\frac{1087}{21}\times \frac{2488}{8}\times 310$$

Divide 2488 by 8 to get 311.

$$\frac{1087}{21}\times 311\times 310$$

Express \frac{1087}{21}\times 311 as a single fraction.

$$\frac{1087\times 311}{21}\times 310$$

Multiply 1087 and 311 to get 338057.

$$\frac{338057}{21}\times 310$$

Express \frac{338057}{21}\times 310 as a single fraction.

$$\frac{338057\times 310}{21}$$

Multiply 338057 and 310 to get 104797670.

$$\frac{104797670}{21}$$

Factor

$$\frac{2 \cdot 5 \cdot 31 \cdot 311 \cdot 1087}{3 \cdot 7} = 4990365\frac{5}{21} = 4990365.238095238$$