37/30 to a mixed number
How to write 37/30 as a Mixed Number?
Since we have an improper fraction (the numerator [37] is greater than the denominator [30]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 37/30 to a mixed number
In order to convert our improper fraction 37/30 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 [30] goes into the numerator [37]. To do this we divide the numerator by the denominator:
37 ÷ 30 = 1.23 = 1
(Quotient of 1 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 [1] and multiplying it by the original denominator [30]. And then subtract the result from the original numerator [37]:
37 - (1 × 30)
=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 [30], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 37/30 to the mixed number 1 7/30.
Related Calculations
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
37/30 | 1 7/30 |
38/30 | 1 4/15 |
39/30 | 1 3/10 |
40/30 | 1 1/3 |
41/30 | 1 11/30 |
42/30 | 1 2/5 |
43/30 | 1 13/30 |
44/30 | 1 7/15 |
45/30 | 1 1/2 |
46/30 | 1 8/15 |
47/30 | 1 17/30 |
48/30 | 1 3/5 |
49/30 | 1 19/30 |
50/30 | 1 2/3 |
51/30 | 1 7/10 |
52/30 | 1 11/15 |
53/30 | 1 23/30 |
54/30 | 1 4/5 |
55/30 | 1 5/6 |
56/30 | 1 13/15 |
57/30 | 1 9/10 |
58/30 | 1 14/15 |
59/30 | 1 29/30 |
60/30 | 2 |
61/30 | 2 1/30 |
62/30 | 2 1/15 |
63/30 | 2 1/10 |
64/30 | 2 2/15 |
65/30 | 2 1/6 |
66/30 | 2 1/5 |