117/5 to a mixed number
How to write 117/5 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/5 to a mixed number
In order to convert our improper fraction 117/5 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 [117]. To do this we divide the numerator by the denominator:
117 ÷ 5 = 23.4 = 23
(Quotient of 23 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 [23] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [117]:
117 - (23 × 5)
=117 - 115 = 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 [23] before it
That's it! We have successfully converted the improper fraction 117/5 to the mixed number 23 2/5.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/5 | 23 2/5 |
118/5 | 23 3/5 |
119/5 | 23 4/5 |
120/5 | 24 |
121/5 | 24 1/5 |
122/5 | 24 2/5 |
123/5 | 24 3/5 |
124/5 | 24 4/5 |
125/5 | 25 |
126/5 | 25 1/5 |
127/5 | 25 2/5 |
128/5 | 25 3/5 |
129/5 | 25 4/5 |
130/5 | 26 |
131/5 | 26 1/5 |
132/5 | 26 2/5 |
133/5 | 26 3/5 |
134/5 | 26 4/5 |
135/5 | 27 |
136/5 | 27 1/5 |
137/5 | 27 2/5 |
138/5 | 27 3/5 |
139/5 | 27 4/5 |
140/5 | 28 |
141/5 | 28 1/5 |
142/5 | 28 2/5 |
143/5 | 28 3/5 |
144/5 | 28 4/5 |
145/5 | 29 |
146/5 | 29 1/5 |