Solve 51/7*22/9

$$5 \frac { 1 } { 7 } \times 2 \frac { 2 } { 9 }$$

Evaluate

$$\frac{80}{7}\approx 11.428571429$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+1}{7}\times \frac{2\times 9+2}{9}$$

Add 35 and 1 to get 36.

$$\frac{36}{7}\times \frac{2\times 9+2}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{36}{7}\times \frac{18+2}{9}$$

Add 18 and 2 to get 20.

$$\frac{36}{7}\times \frac{20}{9}$$

Multiply \frac{36}{7} times \frac{20}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 20}{7\times 9}$$

Do the multiplications in the fraction \frac{36\times 20}{7\times 9}.

$$\frac{720}{63}$$

Reduce the fraction \frac{720}{63} to lowest terms by extracting and canceling out 9.

$$\frac{80}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{7} = 11\frac{3}{7} = 11.428571428571429$$