120/17 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

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How to write 120/17 as a Mixed Number?

Answer

The fraction 120/17 as a mixed number is 7 1/17

Since we have an improper fraction (the numerator [120] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

120
17
=7
1
17

Steps to convert 120/17 to a mixed number

In order to convert our improper fraction 120/17 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 [17] goes into the numerator [120]. To do this we divide the numerator by the denominator:

120 ÷ 17 = 7.06 = 7

(Quotient of 7 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 [7] and multiplying it by the original denominator [17]. And then subtract the result from the original numerator [120]:

120 - (7 × 17)

=

120 - 119 = 1

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

120
17
=7
1
17

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

Related Calculations

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

Improper Fraction to Convert

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Fraction to a Mixed Number Conversion Table

FractionMixed Number
62/173 11/17
63/173 12/17
64/173 13/17
72/174 4/17
73/174 5/17
75/174 7/17
78/174 10/17
79/174 11/17
81/174 13/17
84/174 16/17
87/175 2/17
89/175 4/17
90/175 5/17
91/175 6/17
92/175 7/17
96/175 11/17
97/175 12/17
98/175 13/17
99/175 14/17
100/175 15/17
103/176 1/17
104/176 2/17
108/176 6/17
111/176 9/17
113/176 11/17
115/176 13/17
117/176 15/17
120/177 1/17
144/178 8/17
372/1721 15/17

FAQ

How to write 120/17 as a Mixed Number?

The fraction 120/17 as a mixed number is 7 1/17

How do you convert 120/17 to a mixed number?

To convert 120/17 to a mixed number, divide the numerator (120) by the denominator (17). The quotient is 7 (whole number) and the remainder is 1. So 120/17 = 7 1/17.

What is the difference between an improper fraction and a mixed number?

An improper fraction has a numerator greater than or equal to its denominator (e.g., 120/17). A mixed number combines a whole number with a proper fraction (e.g., 7 1/17). They represent the same value.