Question

Convert to the fractional equivalent and reduce 21.12

Answer 1

Answer:

528/25

Explanation:

21.12 equals to 2112/100 if we divide twice 2112 and 100 in 2 we have: 2112/100=1056/50=528/25

Answer 2

The decimal point is placed after two digits starting from the end. For each decimal place, we can write the number divided by 100.

21.12 can be written as $\frac{2112}{100}$.

Divide the numerator and denominator by 2:

$\frac{2112}{100}= \frac{156}{50}$

The numerator and denominator can be divided by 2 again:

$\frac{78}{25}$

There is no other common factor between numerator and denominator other than 1. Hence, it is the reduced form.