Question

Simplify $:$ $\frac{1}{5}$$\times$$50$$÷$$25$

Answer 1

Step 1 : Convert the whole numbers into fractions

$50$ $=$$\frac{50}{1}$

$25$ $=$$\frac{25}{1}$

$\frac{1}{5}$$\times$$50$$÷$$25$ $=$$\frac{1}{5}$$\times$$\frac{50}{1}$$÷$$\frac{25}{1}$

Step 2 : Applying BODMAS:

Write the reciprocal of the second fraction ( that one you want to divide by ) with the sign of multiplication ($\times$)

$\frac{50}{1}$$÷$$\frac{25}{1}=$$\frac{50}{1}$$\times$$\frac{1}{25}$

$=$ $\frac{1}{5}$ $\times$$\frac{50}{1}$$÷$$\frac{25}{1}$

$=$ $\frac{1}{5}$ $\times$$\frac{50}{1}$$\times$$\frac{1}{25}$

Multiply the numerators and multiply the denominators.

$=$ $\frac{1}{5}$ $\times$$\frac{50}{1}$$\times$$\frac{1}{25}$

$=$ $\frac{1\times 50\times 1}{5\times 1\times 25}$

$=$$\frac{50}{125}$

$=$ $\frac{50÷25}{125÷25}$ $=$$\frac{2}{5}$

Hence $,$ $\frac{1}{5}$$\times$$50$$÷$$25$ $=$$\frac{2}{5}$