Solve 55/8*53/8

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

Evaluate

$$\frac{1935}{64}=30.234375$$

Solution Steps

Multiply 5 and 8 to get 40.

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

Add 40 and 5 to get 45.

$$\frac{45}{8}\times \frac{5\times 8+3}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{45}{8}\times \frac{40+3}{8}$$

Add 40 and 3 to get 43.

$$\frac{45}{8}\times \frac{43}{8}$$

Multiply \frac{45}{8} times \frac{43}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 43}{8\times 8}$$

Do the multiplications in the fraction \frac{45\times 43}{8\times 8}.

$$\frac{1935}{64}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 43}{2 ^ {6}} = 30\frac{15}{64} = 30.234375$$