37/10 to a mixed number
How to write 37/10 as a Mixed Number?
Since we have an improper fraction (the numerator [37] is greater than the denominator [10]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 37/10 to a mixed number
In order to convert our improper fraction 37/10 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 [10] goes into the numerator [37]. To do this we divide the numerator by the denominator:
37 ÷ 10 = 3.7 = 3
(Quotient of 3 and a remainder of 7)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].
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 [10]. And then subtract the result from the original numerator [37]:
37 - (3 × 10)
=37 - 30 = 7
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [10], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 37/10 to the mixed number 3 7/10.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
37/10 | 3 7/10 |
38/10 | 3 4/5 |
39/10 | 3 9/10 |
40/10 | 4 |
41/10 | 4 1/10 |
42/10 | 4 1/5 |
43/10 | 4 3/10 |
44/10 | 4 2/5 |
45/10 | 4 1/2 |
46/10 | 4 3/5 |
47/10 | 4 7/10 |
48/10 | 4 4/5 |
49/10 | 4 9/10 |
50/10 | 5 |
51/10 | 5 1/10 |
52/10 | 5 1/5 |
53/10 | 5 3/10 |
54/10 | 5 2/5 |
55/10 | 5 1/2 |
56/10 | 5 3/5 |
57/10 | 5 7/10 |
58/10 | 5 4/5 |
59/10 | 5 9/10 |
60/10 | 6 |
61/10 | 6 1/10 |
62/10 | 6 1/5 |
63/10 | 6 3/10 |
64/10 | 6 2/5 |
65/10 | 6 1/2 |
66/10 | 6 3/5 |