Question

Convert the decimal into fractions.

$5.75$

Answer 1

Method 1:

Step 1: We know that $5.75$ can be written as $5+\frac{7}{10}+\frac{5}{100}$

$5+\frac{7}{10}+\frac{5}{100}$ $=$$\frac{5\times 100+7\times 10+5\times 1}{100}$ $($ LCM of $1,10,$ and $100$ is $100$ $)$

$=$$\frac{500+70+5}{100}$

$=$$\frac{575}{100}$

Therefore, $5.75$ in the fraction form is $\frac{575}{100}$

Alternate Method:

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

$\frac{575}{}$

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

$\frac{575}{100}$

Therefore, $5.75$ in the fraction form is $\frac{575}{100}$