Solve 157/5*3/14-3/4=

$$15 \frac { 7 } { 5 } \times \frac { 3 } { 14 } - \frac { 3 } { 4 } =$$

Evaluate

$$\frac{387}{140}\approx 2.764285714$$

Solution Steps

Multiply 15 and 5 to get 75.

$$\frac{75+7}{5}\times \frac{3}{14}-\frac{3}{4}$$

Add 75 and 7 to get 82.

$$\frac{82}{5}\times \frac{3}{14}-\frac{3}{4}$$

Multiply \frac{82}{5} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{82\times 3}{5\times 14}-\frac{3}{4}$$

Do the multiplications in the fraction \frac{82\times 3}{5\times 14}.

$$\frac{246}{70}-\frac{3}{4}$$

Reduce the fraction \frac{246}{70} to lowest terms by extracting and canceling out 2.

$$\frac{123}{35}-\frac{3}{4}$$

Least common multiple of 35 and 4 is 140. Convert \frac{123}{35} and \frac{3}{4} to fractions with denominator 140.

$$\frac{492}{140}-\frac{105}{140}$$

Since \frac{492}{140} and \frac{105}{140} have the same denominator, subtract them by subtracting their numerators.

$$\frac{492-105}{140}$$

Subtract 105 from 492 to get 387.

$$\frac{387}{140}$$

Factor

$$\frac{3 ^ {2} \cdot 43}{2 ^ {2} \cdot 5 \cdot 7} = 2\frac{107}{140} = 2.7642857142857142$$