What is the reduced form of the fraction $\frac{250}{400}?$

Given fraction: $\frac{250}{400}$ 

Factors of number 250 are: 

 $250=2\times 5\times 5\times 5$

Factors of number 400 are: 

$400=2\times 2\times 2\times 2\times 5\times 5$

 H.C.F of 250 and 400 = 2 × 5 × 5 = 50

To get the reduced form, divide both the numerator and the denominator by 50 (H.C.F.).

Therefore,

$\frac{250÷50}{400÷50}=\frac{5}{8}$

So, the reduced form of the given fraction is $\frac{\mathbf{5}}{\mathbf{8}}$ .