4.32 = 108
25
= 48
25
as a fraction
To convert the decimal 4.32 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
4.32 = 4.32
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
4.32
1
= (4.32 × 100)
(1 × 100)
= 432
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(432,100) = 4. So,
(432÷4)
(100÷4)
= 108
25
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 432
100
is also equal to 48
25
when expressed as a mixed number.