117/20 to a mixed number
How to write 117/20 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [20]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/20 to a mixed number
In order to convert our improper fraction 117/20 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 [20] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 20 = 5.85 = 5
(Quotient of 5 and a remainder of 17)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [17].
You may also calculate a remainder by using the whole number we calculated in the first step [5] and multiplying it by the original denominator [20]. And then subtract the result from the original numerator [117]:
117 - (5 × 20)
=117 - 100 = 17
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [17] and put it above the original denominator [20], and then put the whole number [5] before it
That's it! We have successfully converted the improper fraction 117/20 to the mixed number 5 17/20.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/20 | 5 17/20 |
118/20 | 5 9/10 |
119/20 | 5 19/20 |
120/20 | 6 |
121/20 | 6 1/20 |
122/20 | 6 1/10 |
123/20 | 6 3/20 |
124/20 | 6 1/5 |
125/20 | 6 1/4 |
126/20 | 6 3/10 |
127/20 | 6 7/20 |
128/20 | 6 2/5 |
129/20 | 6 9/20 |
130/20 | 6 1/2 |
131/20 | 6 11/20 |
132/20 | 6 3/5 |
133/20 | 6 13/20 |
134/20 | 6 7/10 |
135/20 | 6 3/4 |
136/20 | 6 4/5 |
137/20 | 6 17/20 |
138/20 | 6 9/10 |
139/20 | 6 19/20 |
140/20 | 7 |
141/20 | 7 1/20 |
142/20 | 7 1/10 |
143/20 | 7 3/20 |
144/20 | 7 1/5 |
145/20 | 7 1/4 |
146/20 | 7 3/10 |