71/30 to a mixed number
How to write 71/30 as a Mixed Number?
Since we have an improper fraction (the numerator [71] 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 71/30 to a mixed number
In order to convert our improper fraction 71/30 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 [71]. To do this we divide the numerator by the denominator:
71 ÷ 30 = 2.37 = 2
(Quotient of 2 and a remainder of 11)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].
You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [30]. And then subtract the result from the original numerator [71]:
71 - (2 × 30)
=71 - 60 = 11
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [30], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 71/30 to the mixed number 2 11/30.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
71/30 | 2 11/30 |
72/30 | 2 2/5 |
73/30 | 2 13/30 |
74/30 | 2 7/15 |
75/30 | 2 1/2 |
76/30 | 2 8/15 |
77/30 | 2 17/30 |
78/30 | 2 3/5 |
79/30 | 2 19/30 |
80/30 | 2 2/3 |
81/30 | 2 7/10 |
82/30 | 2 11/15 |
83/30 | 2 23/30 |
84/30 | 2 4/5 |
85/30 | 2 5/6 |
86/30 | 2 13/15 |
87/30 | 2 9/10 |
88/30 | 2 14/15 |
89/30 | 2 29/30 |
90/30 | 3 |
91/30 | 3 1/30 |
92/30 | 3 1/15 |
93/30 | 3 1/10 |
94/30 | 3 2/15 |
95/30 | 3 1/6 |
96/30 | 3 1/5 |
97/30 | 3 7/30 |
98/30 | 3 4/15 |
99/30 | 3 3/10 |
100/30 | 3 1/3 |