Solve 55/8*31/2

$$5 \frac { 5 } { 8 } \times 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{315}{16}=19.6875$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+5}{8}\times \frac{3\times 2+1}{2}$$

Add 40 and 5 to get 45.

$$\frac{45}{8}\times \frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{45}{8}\times \frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{45}{8}\times \frac{7}{2}$$

Multiply \frac{45}{8} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 7}{8\times 2}$$

Do the multiplications in the fraction \frac{45\times 7}{8\times 2}.

$$\frac{315}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 7}{2 ^ {4}} = 19\frac{11}{16} = 19.6875$$