Solve 4/14-1/7*3/7=

$$\frac { 4 } { 14 } - \frac { 1 } { 7 } \times \frac { 3 } { 7 } =$$

Evaluate

$$\frac{11}{49}\approx 0.224489796$$

Solution Steps

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

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

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

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

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

$$\frac{2}{7}-\frac{3}{49}$$

Least common multiple of 7 and 49 is 49. Convert \frac{2}{7} and \frac{3}{49} to fractions with denominator 49.

$$\frac{14}{49}-\frac{3}{49}$$

Since \frac{14}{49} and \frac{3}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-3}{49}$$

Subtract 3 from 14 to get 11.

$$\frac{11}{49}$$

Factor

$$\frac{11}{7 ^ {2}} = 0.22448979591836735$$