120/7 to a mixed number

How to write 120/7 as a Mixed Number?

Answer: Fraction 120/7 as a mixed number it is 17 1/7

Since we have an improper fraction (the numerator [120] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

120
/
7
=17
1
/
7

Steps to convert 120/7 to a mixed number

In order to convert our improper fraction 120/7 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 [120]. To do this we divide the numerator by the denominator:

120 ÷ 7 = 17.14 = 17

(Quotient of 17 and a remainder of 1)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].

You may also calculate a remainder by using the whole number we calculated in the first step [17] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [120]:

120 - (17 × 7)

=

120 - 119 = 1

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [7], and then put the whole number [17] before it

120
/
7
=17
1
/
7

That's it! We have successfully converted the improper fraction 120/7 to the mixed number 17 1/7.

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 120/7 as a Mixed Number? (The answer is: 17 1/7). Enter the fraction (numerator and denominator) (e.g. '120/7') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
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
130/718 4/7
131/718 5/7
132/718 6/7
133/719
134/719 1/7
135/719 2/7
136/719 3/7
137/719 4/7
138/719 5/7
139/719 6/7
140/720
141/720 1/7
142/720 2/7
143/720 3/7
144/720 4/7
145/720 5/7
146/720 6/7
147/721
148/721 1/7
149/721 2/7

FAQ

How to write 120/7 as a Mixed Number?

Fraction 120/7 as a mixed number it is 17 1/7