Solve 5/12-5/28*0.7

$$\frac { 5 } { 12 } - \frac { 5 } { 28 } \times 0.7$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{5}{12}-\frac{5}{28}\times \frac{7}{10}$$

Multiply \frac{5}{28} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{12}-\frac{5\times 7}{28\times 10}$$

Do the multiplications in the fraction \frac{5\times 7}{28\times 10}.

$$\frac{5}{12}-\frac{35}{280}$$

Reduce the fraction \frac{35}{280} to lowest terms by extracting and canceling out 35.

$$\frac{5}{12}-\frac{1}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{5}{12} and \frac{1}{8} to fractions with denominator 24.

$$\frac{10}{24}-\frac{3}{24}$$

Since \frac{10}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{24}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{3 \cdot 2 ^ {3}} = 0.2916666666666667$$