15 1/6 - 6 5/12 help explain?
You could turn them both into improper fraction. 15 1/6 would now be 91/6. Then 6 5/12 would be 77/12. 6 and 12 common denominator is 12 so 91/6=182/12. 77/12 = 77/12. 182/12- 77/12= 105/12. Then you turn 105/12 into a mixed number which would be 8 9/12= 8 3/4.
Another way to approach this problem:
1. Find the common denominator.
2. Change 15 1/6 to 14 14/12
Take it from there.
15 1/6 - 6 5/12.
Change the mixed numbers to improper fractions by multiplying the whole numbers by the denominator of the
fraction and adding the numerator:
91/6 - 77/12,
Find the common denominator(=>12).
In this case, it is = to 12; because
6 will divide into 12 with no remainder.
182/12 - 77/12 = 105/12 = 8 9/12 = 8 3/4.
We went from 91/6 to 182/12 by dividing
12 by 6 and multiplying the results by 91(2*91=182).
I hope this will help.
To subtract mixed numbers like 15 1/6 - 6 5/12, you can follow these steps:
1. Convert each mixed number to an improper fraction. To do this, multiply the whole number by the denominator of the fraction, and then add the numerator. For the first mixed number (15 1/6), the improper fraction is calculated as follows:
15 * 6 + 1 = 91/6
So, 15 1/6 is equal to 91/6 as an improper fraction.
Similarly, for the second mixed number (6 5/12):
6 * 12 + 5 = 77/12
2. Once you have both numbers expressed as improper fractions, you can subtract them. To subtract fractions, you need to have a common denominator. In this case, the least common multiple of 6 and 12 is 12. Therefore, we need to convert both fractions to have a denominator of 12.
To convert 91/6 to a fraction with a denominator of 12, we multiply both the numerator and denominator by 2:
(91 * 2) / (6 * 2) = 182/12
To convert 77/12 to a fraction with a denominator of 12, we multiply both the numerator and denominator by 1:
(77 * 1) / (12 * 1) = 77/12
3. Now that both fractions have the same denominator, you can subtract their numerators: 182/12 - 77/12 = 105/12.
4. You can simplify the result by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 105 and 12 is 3. Divide both the numerator and denominator by 3:
(105/3) / (12/3) = 35/4
Therefore, the final result of 15 1/6 - 6 5/12 is equal to 35/4 or 8 3/4.