Solve 34.31/156div3.5=

$$34.3 \frac { 1 } { 15 } 6 \div 3.5 =$$

Evaluate

$$\frac{2062}{35}\approx 58.914285714$$

Solution Steps

Multiply 34.3 and 15 to get 514.5.

$$\frac{\frac{514.5+1}{15}\times 6}{3.5}$$

Add 514.5 and 1 to get 515.5.

$$\frac{\frac{515.5}{15}\times 6}{3.5}$$

Expand \frac{515.5}{15} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{5155}{150}\times 6}{3.5}$$

Reduce the fraction \frac{5155}{150} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1031}{30}\times 6}{3.5}$$

Express \frac{1031}{30}\times 6 as a single fraction.

$$\frac{\frac{1031\times 6}{30}}{3.5}$$

Multiply 1031 and 6 to get 6186.

$$\frac{\frac{6186}{30}}{3.5}$$

Reduce the fraction \frac{6186}{30} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{1031}{5}}{3.5}$$

Express \frac{\frac{1031}{5}}{3.5} as a single fraction.

$$\frac{1031}{5\times 3.5}$$

Multiply 5 and 3.5 to get 17.5.

$$\frac{1031}{17.5}$$

Expand \frac{1031}{17.5} by multiplying both numerator and the denominator by 10.

$$\frac{10310}{175}$$

Reduce the fraction \frac{10310}{175} to lowest terms by extracting and canceling out 5.

$$\frac{2062}{35}$$

Factor

$$\frac{2 \cdot 1031}{5 \cdot 7} = 58\frac{32}{35} = 58.91428571428571$$