Solve 21/4*31/8*5/4

$$2 \frac { 1 } { 4 } \times 3 \frac { 1 } { 8 } \times \frac { 5 } { 4 }$$

Evaluate

$$\frac{1125}{128}=8.7890625$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}\times \frac{3\times 8+1}{8}\times \frac{5}{4}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}\times \frac{3\times 8+1}{8}\times \frac{5}{4}$$

Multiply 3 and 8 to get 24.

$$\frac{9}{4}\times \frac{24+1}{8}\times \frac{5}{4}$$

Add 24 and 1 to get 25.

$$\frac{9}{4}\times \frac{25}{8}\times \frac{5}{4}$$

Multiply \frac{9}{4} times \frac{25}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 25}{4\times 8}\times \frac{5}{4}$$

Do the multiplications in the fraction \frac{9\times 25}{4\times 8}.

$$\frac{225}{32}\times \frac{5}{4}$$

Multiply \frac{225}{32} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{225\times 5}{32\times 4}$$

Do the multiplications in the fraction \frac{225\times 5}{32\times 4}.

$$\frac{1125}{128}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {3}}{2 ^ {7}} = 8\frac{101}{128} = 8.7890625$$