117/4 to a mixed number
How to write 117/4 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/4 to a mixed number
In order to convert our improper fraction 117/4 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 [4] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 4 = 29.25 = 29
(Quotient of 29 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 [29] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [117]:
117 - (29 × 4)
=117 - 116 = 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 [4], and then put the whole number [29] before it
That's it! We have successfully converted the improper fraction 117/4 to the mixed number 29 1/4.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/4 | 29 1/4 |
118/4 | 29 1/2 |
119/4 | 29 3/4 |
120/4 | 30 |
121/4 | 30 1/4 |
122/4 | 30 1/2 |
123/4 | 30 3/4 |
124/4 | 31 |
125/4 | 31 1/4 |
126/4 | 31 1/2 |
127/4 | 31 3/4 |
128/4 | 32 |
129/4 | 32 1/4 |
130/4 | 32 1/2 |
131/4 | 32 3/4 |
132/4 | 33 |
133/4 | 33 1/4 |
134/4 | 33 1/2 |
135/4 | 33 3/4 |
136/4 | 34 |
137/4 | 34 1/4 |
138/4 | 34 1/2 |
139/4 | 34 3/4 |
140/4 | 35 |
141/4 | 35 1/4 |
142/4 | 35 1/2 |
143/4 | 35 3/4 |
144/4 | 36 |
145/4 | 36 1/4 |
146/4 | 36 1/2 |