Question

Convert the decimal into fractions.

$2.25$

Answer 1

Method 1:

Step 1: We know that $2.25$ can be written as $2+\frac{2}{10}+\frac{5}{100}$

Step 2: $2+\frac{2}{10}+\frac{5}{100}$$=$$\frac{2\times 100+2\times 10+5\times 1}{100}$ $($ LCM of $1,10,$and $100$ $)$

$=$$\frac{200+20+5}{100}$

$=$$\frac{225}{100}$

Therefore, $2.25$ in the fraction form is $\frac{225}{100}$

Alternate Method:

Step 1: Write the number without a decimal point in the numerator.

$225$

Step 2: In the denominator, write $1$followed by as many zeroes as the number of digits after the decimal point.

$\frac{225}{100}$

Therefore, $2.25$ in the decimal form is $\frac{225}{100}$