137/20 to a mixed number
How to write 137/20 as a Mixed Number?
Since we have an improper fraction (the numerator [137] 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 137/20 to a mixed number
In order to convert our improper fraction 137/20 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 [137]. To do this we divide the numerator by the denominator:
137 ÷ 20 = 6.85 = 6
(Quotient of 6 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 [6] and multiplying it by the original denominator [20]. And then subtract the result from the original numerator [137]:
137 - (6 × 20)
=137 - 120 = 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 [6] before it
That's it! We have successfully converted the improper fraction 137/20 to the mixed number 6 17/20.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
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 |
147/20 | 7 7/20 |
148/20 | 7 2/5 |
149/20 | 7 9/20 |
150/20 | 7 1/2 |
151/20 | 7 11/20 |
152/20 | 7 3/5 |
153/20 | 7 13/20 |
154/20 | 7 7/10 |
155/20 | 7 3/4 |
156/20 | 7 4/5 |
157/20 | 7 17/20 |
158/20 | 7 9/10 |
159/20 | 7 19/20 |
160/20 | 8 |
161/20 | 8 1/20 |
162/20 | 8 1/10 |
163/20 | 8 3/20 |
164/20 | 8 1/5 |
165/20 | 8 1/4 |
166/20 | 8 3/10 |