Answer:
Step-by-step explanation:
32.8 = 164/5
= 32/4/5
as a fraction
To convert the decimal 32.8 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
32.8 = 32.8/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
32.8
1
= (32.8 × 10)
(1 × 10)
= 328/10
.
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(328,10) = 2. So,
(328÷2)
(10÷2)
= 164/5
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 328/ 10
is also equal to 32/4 /5
when expressed as a mixed number.
