Solve 24/9*21/6

$$2 \frac { 4 } { 9 } \times 2 \frac { 1 } { 6 }$$

Evaluate

$$\frac{143}{27}\approx 5.296296296$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+4}{9}\times \frac{2\times 6+1}{6}$$

Add 18 and 4 to get 22.

$$\frac{22}{9}\times \frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{22}{9}\times \frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{22}{9}\times \frac{13}{6}$$

Multiply \frac{22}{9} times \frac{13}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 13}{9\times 6}$$

Do the multiplications in the fraction \frac{22\times 13}{9\times 6}.

$$\frac{286}{54}$$

Reduce the fraction \frac{286}{54} to lowest terms by extracting and canceling out 2.

$$\frac{143}{27}$$

Factor

$$\frac{11 \cdot 13}{3 ^ {3}} = 5\frac{8}{27} = 5.296296296296297$$