Solve 51/4:16/25

$$5 \frac { 1 } { 4 } : \frac { 16 } { 25 }$$

Evaluate

$$\frac{525}{64}=8.203125$$

Solution Steps

Divide \frac{5\times 4+1}{4} by \frac{16}{25} by multiplying \frac{5\times 4+1}{4} by the reciprocal of \frac{16}{25}.

$$\frac{\left(5\times 4+1\right)\times 25}{4\times 16}$$

Multiply 5 and 4 to get 20.

$$\frac{\left(20+1\right)\times 25}{4\times 16}$$

Add 20 and 1 to get 21.

$$\frac{21\times 25}{4\times 16}$$

Multiply 21 and 25 to get 525.

$$\frac{525}{4\times 16}$$

Multiply 4 and 16 to get 64.

$$\frac{525}{64}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 7}{2 ^ {6}} = 8\frac{13}{64} = 8.203125$$