Solve 7/10-3/10*5/6

$$\frac { 7 } { 10 } - \frac { 3 } { 10 } \cdot \frac { 5 } { 6 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Multiply \frac{3}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{10}-\frac{3\times 5}{10\times 6}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 6}.

$$\frac{7}{10}-\frac{15}{60}$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{7}{10}-\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{7}{10} and \frac{1}{4} to fractions with denominator 20.

$$\frac{14}{20}-\frac{5}{20}$$

Since \frac{14}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-5}{20}$$

Subtract 5 from 14 to get 9.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$