Solve 37/9*57/8

$$3 \frac { 7 } { 9 } \times 5 \frac { 7 } { 8 }$$

Evaluate

$$\frac{799}{36}\approx 22.194444444$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+7}{9}\times \frac{5\times 8+7}{8}$$

Add 27 and 7 to get 34.

$$\frac{34}{9}\times \frac{5\times 8+7}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{34}{9}\times \frac{40+7}{8}$$

Add 40 and 7 to get 47.

$$\frac{34}{9}\times \frac{47}{8}$$

Multiply \frac{34}{9} times \frac{47}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{34\times 47}{9\times 8}$$

Do the multiplications in the fraction \frac{34\times 47}{9\times 8}.

$$\frac{1598}{72}$$

Reduce the fraction \frac{1598}{72} to lowest terms by extracting and canceling out 2.

$$\frac{799}{36}$$

Factor

$$\frac{17 \cdot 47}{2 ^ {2} \cdot 3 ^ {2}} = 22\frac{7}{36} = 22.194444444444443$$