Solve 34,31/156div3,5=

$$34,3 \frac { 1 } { 15 } 6 \div 3,5 =$$

Evaluate

$$\frac{6256}{35}\approx 178,742857143$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{34\times \frac{45+1}{15}\times 6}{3,5}$$

Add 45 and 1 to get 46.

$$\frac{34\times \frac{46}{15}\times 6}{3,5}$$

Express 34\times \frac{46}{15} as a single fraction.

$$\frac{\frac{34\times 46}{15}\times 6}{3,5}$$

Multiply 34 and 46 to get 1564.

$$\frac{\frac{1564}{15}\times 6}{3,5}$$

Express \frac{1564}{15}\times 6 as a single fraction.

$$\frac{\frac{1564\times 6}{15}}{3,5}$$

Multiply 1564 and 6 to get 9384.

$$\frac{\frac{9384}{15}}{3,5}$$

Reduce the fraction \frac{9384}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{3128}{5}}{3,5}$$

Express \frac{\frac{3128}{5}}{3,5} as a single fraction.

$$\frac{3128}{5\times 3,5}$$

Multiply 5 and 3,5 to get 17,5.

$$\frac{3128}{17,5}$$

Expand \frac{3128}{17,5} by multiplying both numerator and the denominator by 10.

$$\frac{31280}{175}$$

Reduce the fraction \frac{31280}{175} to lowest terms by extracting and canceling out 5.

$$\frac{6256}{35}$$

Factor

$$\frac{17 \cdot 23 \cdot 2 ^ {4}}{5 \cdot 7} = 178\frac{26}{35} = 178.74285714285713$$