Solve 5/6*4/7*21/3

$$\frac { 5 } { 6 } \times \frac { 4 } { 7 } \times 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Multiply \frac{5}{6} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{6\times 7}\times \frac{2\times 3+1}{3}$$

Do the multiplications in the fraction \frac{5\times 4}{6\times 7}.

$$\frac{20}{42}\times \frac{2\times 3+1}{3}$$

Reduce the fraction \frac{20}{42} to lowest terms by extracting and canceling out 2.

$$\frac{10}{21}\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{10}{21}\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{10}{21}\times \frac{7}{3}$$

Multiply \frac{10}{21} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 7}{21\times 3}$$

Do the multiplications in the fraction \frac{10\times 7}{21\times 3}.

$$\frac{70}{63}$$

Reduce the fraction \frac{70}{63} to lowest terms by extracting and canceling out 7.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$