102/5 to a mixed number

How to write 102/5 as a Mixed Number?

Answer: Fraction 102/5 as a mixed number it is 20 2/5

Since we have an improper fraction (the numerator [102] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

102
/
5
=20
2
/
5

Steps to convert 102/5 to a mixed number

In order to convert our improper fraction 102/5 to a mixed number, we need to follow three basic steps:

1. Find the whole number. First we need to calculate how many times the denominator [5] goes into the numerator [102]. To do this we divide the numerator by the denominator:

102 ÷ 5 = 20.4 = 20

(Quotient of 20 and a remainder of 2)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [2].

You may also calculate a remainder by using the whole number we calculated in the first step [20] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [102]:

102 - (20 × 5)

=

102 - 100 = 2

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [2] and put it above the original denominator [5], and then put the whole number [20] before it

102
/
5
=20
2
/
5

That's it! We have successfully converted the improper fraction 102/5 to the mixed number 20 2/5.

See Also

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 102/5 as a Mixed Number? (The answer is: 20 2/5). Enter the fraction (numerator and denominator) (e.g. '102/5') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
20 2/5
103/520 3/5
104/5
105/521
106/521 1/5
107/521 2/5
108/521 3/5
109/521 4/5
110/522
111/522 1/5
22 2/5
22 3/5
114/522 4/5
115/523
116/523 1/5
23 2/5
118/523 3/5
119/523 4/5
120/524
121/524 1/5
122/524 2/5
123/524 3/5
124/524 4/5
125/525
126/525 1/5
127/525 2/5
128/525 3/5
129/525 4/5
130/526
131/526 1/5

FAQ

How to write 102/5 as a Mixed Number?

Fraction 102/5 as a mixed number it is 20 2/5