117/35 to a mixed number
How to write 117/35 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [35]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/35 to a mixed number
In order to convert our improper fraction 117/35 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 [35] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 35 = 3.34 = 3
(Quotient of 3 and a remainder of 12)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [12].
You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [35]. And then subtract the result from the original numerator [117]:
117 - (3 × 35)
=117 - 105 = 12
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [12] and put it above the original denominator [35], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 117/35 to the mixed number 3 12/35.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/35 | 3 12/35 |
118/35 | 3 13/35 |
119/35 | 3 2/5 |
120/35 | 3 3/7 |
121/35 | 3 16/35 |
122/35 | 3 17/35 |
123/35 | 3 18/35 |
124/35 | 3 19/35 |
125/35 | 3 4/7 |
126/35 | 3 3/5 |
127/35 | 3 22/35 |
128/35 | 3 23/35 |
129/35 | 3 24/35 |
130/35 | 3 5/7 |
131/35 | 3 26/35 |
132/35 | 3 27/35 |
133/35 | 3 4/5 |
134/35 | 3 29/35 |
135/35 | 3 6/7 |
136/35 | 3 31/35 |
137/35 | 3 32/35 |
138/35 | 3 33/35 |
139/35 | 3 34/35 |
140/35 | 4 |
141/35 | 4 1/35 |
142/35 | 4 2/35 |
143/35 | 4 3/35 |
144/35 | 4 4/35 |
145/35 | 4 1/7 |
146/35 | 4 6/35 |