66/7 to a mixed number
How to write 66/7 as a Mixed Number?
Since we have an improper fraction (the numerator [66] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 66/7 to a mixed number
In order to convert our improper fraction 66/7 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 [7] goes into the numerator [66]. To do this we divide the numerator by the denominator:
66 ÷ 7 = 9.43 = 9
(Quotient of 9 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [66]:
66 - (9 × 7)
=66 - 63 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [7], and then put the whole number [9] before it
That's it! We have successfully converted the improper fraction 66/7 to the mixed number 9 3/7.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
66/7 | 9 3/7 |
67/7 | 9 4/7 |
68/7 | 9 5/7 |
69/7 | 9 6/7 |
70/7 | 10 |
71/7 | 10 1/7 |
72/7 | 10 2/7 |
73/7 | 10 3/7 |
74/7 | 10 4/7 |
75/7 | 10 5/7 |
76/7 | 10 6/7 |
77/7 | 11 |
78/7 | 11 1/7 |
79/7 | 11 2/7 |
80/7 | 11 3/7 |
81/7 | 11 4/7 |
82/7 | 11 5/7 |
83/7 | 11 6/7 |
84/7 | 12 |
85/7 | 12 1/7 |
86/7 | 12 2/7 |
87/7 | 12 3/7 |
88/7 | 12 4/7 |
89/7 | 12 5/7 |
90/7 | 12 6/7 |
91/7 | 13 |
92/7 | 13 1/7 |
93/7 | 13 2/7 |
94/7 | 13 3/7 |
95/7 | 13 4/7 |