Solve 55/8*57/9*33/4=

$$5 \frac { 5 } { 8 } \times 5 \frac { 7 } { 9 } \times 3 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{975}{8}=121.875$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+5}{8}\times \frac{5\times 9+7}{9}\times \frac{3\times 4+3}{4}$$

Add 40 and 5 to get 45.

$$\frac{45}{8}\times \frac{5\times 9+7}{9}\times \frac{3\times 4+3}{4}$$

Multiply 5 and 9 to get 45.

$$\frac{45}{8}\times \frac{45+7}{9}\times \frac{3\times 4+3}{4}$$

Add 45 and 7 to get 52.

$$\frac{45}{8}\times \frac{52}{9}\times \frac{3\times 4+3}{4}$$

Multiply \frac{45}{8} times \frac{52}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 52}{8\times 9}\times \frac{3\times 4+3}{4}$$

Do the multiplications in the fraction \frac{45\times 52}{8\times 9}.

$$\frac{2340}{72}\times \frac{3\times 4+3}{4}$$

Reduce the fraction \frac{2340}{72} to lowest terms by extracting and canceling out 36.

$$\frac{65}{2}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{65}{2}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{65}{2}\times \frac{15}{4}$$

Multiply \frac{65}{2} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 15}{2\times 4}$$

Do the multiplications in the fraction \frac{65\times 15}{2\times 4}.

$$\frac{975}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 13}{2 ^ {3}} = 121\frac{7}{8} = 121.875$$