Solve (8)21/24*6/7=

$$( 8 ) 2 \frac { 1 } { 24 } \times \frac { 6 } { 7 } =$$

Evaluate

$$14$$

Solution Steps

Multiply 2 and 24 to get 48.

$$8\times \frac{48+1}{24}\times \frac{6}{7}$$

Add 48 and 1 to get 49.

$$8\times \frac{49}{24}\times \frac{6}{7}$$

Express 8\times \frac{49}{24} as a single fraction.

$$\frac{8\times 49}{24}\times \frac{6}{7}$$

Multiply 8 and 49 to get 392.

$$\frac{392}{24}\times \frac{6}{7}$$

Reduce the fraction \frac{392}{24} to lowest terms by extracting and canceling out 8.

$$\frac{49}{3}\times \frac{6}{7}$$

Multiply \frac{49}{3} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 6}{3\times 7}$$

Do the multiplications in the fraction \frac{49\times 6}{3\times 7}.

$$\frac{294}{21}$$

Divide 294 by 21 to get 14.

$$14$$

Factor

$$2\times 7$$