Solve 10/21*7/20div5/6+1/4

$$\frac { 10 } { 21 } \times \frac { 7 } { 20 } \div \frac { 5 } { 6 } + \frac { 1 } { 4 }$$

Evaluate

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

Solution Steps

Multiply \frac{10}{21} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{10\times 7}{21\times 20}}{\frac{5}{6}}+\frac{1}{4}$$

Do the multiplications in the fraction \frac{10\times 7}{21\times 20}.

$$\frac{\frac{70}{420}}{\frac{5}{6}}+\frac{1}{4}$$

Reduce the fraction \frac{70}{420} to lowest terms by extracting and canceling out 70.

$$\frac{\frac{1}{6}}{\frac{5}{6}}+\frac{1}{4}$$

Divide \frac{1}{6} by \frac{5}{6} by multiplying \frac{1}{6} by the reciprocal of \frac{5}{6}.

$$\frac{1}{6}\times \frac{6}{5}+\frac{1}{4}$$

Multiply \frac{1}{6} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{6\times 5}+\frac{1}{4}$$

Cancel out 6 in both numerator and denominator.

$$\frac{1}{5}+\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{4}{20}+\frac{5}{20}$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{20}$$

Add 4 and 5 to get 9.

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

Factor

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