Convert 16.25 into a mixed fraction.
Answers
Answer:
16.25 = 16 1/4 is your answer
16.25 = 65
4
= 161
4
as a fraction
To convert the decimal 16.25 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
16.25 = 16.25
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,
16.25
1
= (16.25 × 100)
(1 × 100)
= 1625
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(1625,100) = 25. So,
(1625÷25)
(100÷25)
= 65
4
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 1625
100
is also equal to 161
4
when expressed as a mixed number.