Solve 6/7div24/14*21/4

$$\frac{ 6 }{ 7 } \div \frac{ 24 }{ 14 } \times 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Divide \frac{6}{7} by \frac{24}{14} by multiplying \frac{6}{7} by the reciprocal of \frac{24}{14}.

$$\frac{6\times 14}{7\times 24}\times \frac{2\times 4+1}{4}$$

Cancel out 2\times 6\times 7 in both numerator and denominator.

$$\frac{1}{2}\times \frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{1}{2}\times \frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{1}{2}\times \frac{9}{4}$$

Multiply \frac{1}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{2\times 4}$$

Do the multiplications in the fraction \frac{1\times 9}{2\times 4}.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$