Solve 2/5-3/4*1/7=

$$\frac { 2 } { 5 } - \frac { 3 } { 4 } \cdot \frac { 1 } { 7 } =$$

Evaluate

$$\frac{41}{140}\approx 0.292857143$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}-\frac{3\times 1}{4\times 7}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 7}.

$$\frac{2}{5}-\frac{3}{28}$$

Least common multiple of 5 and 28 is 140. Convert \frac{2}{5} and \frac{3}{28} to fractions with denominator 140.

$$\frac{56}{140}-\frac{15}{140}$$

Since \frac{56}{140} and \frac{15}{140} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-15}{140}$$

Subtract 15 from 56 to get 41.

$$\frac{41}{140}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 5 \cdot 7} = 0.29285714285714287$$