100/7 to a mixed number

How to write 100/7 as a Mixed Number?

Answer: Fraction 100/7 as a mixed number it is 14 2/7

Since we have an improper fraction (the numerator [100] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

100
/
7
=14
2
/
7

Steps to convert 100/7 to a mixed number

In order to convert our improper fraction 100/7 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 [7] goes into the numerator [100]. To do this we divide the numerator by the denominator:

100 ÷ 7 = 14.29 = 14

(Quotient of 14 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 [14] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [100]:

100 - (14 × 7)

=

100 - 98 = 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 [7], and then put the whole number [14] before it

100
/
7
=14
2
/
7

That's it! We have successfully converted the improper fraction 100/7 to the mixed number 14 2/7.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
14 2/7
101/714 3/7
14 5/7
104/714 6/7
105/715
106/715 1/7
107/715 2/7
15 3/7
109/715 4/7
110/715 5/7
15 6/7
112/716
113/716 1/7
114/716 2/7
115/716 3/7
116/716 4/7
117/716 5/7
118/716 6/7
119/717
17 1/7
121/717 2/7
122/717 3/7
123/717 4/7
124/717 5/7
125/717 6/7
126/718
127/718 1/7
128/718 2/7
129/718 3/7

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 100/7 as a Mixed Number? (The answer is: 14 2/7). Enter the fraction (numerator and denominator) (e.g. '100/7') 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.

FAQ

How to write 100/7 as a Mixed Number?

Fraction 100/7 as a mixed number it is 14 2/7