What is 7/8-5/6 in simplest form?
Please explain how to get your answer.
7/8 - 5/6 = 21/24 - 20/24 = 1/24
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To find the difference of two fractions, 7/8 and 5/6, you need to have a common denominator. The common denominator is the smallest common multiple of the two denominators, which in this case is 24.
First, you need to transform the fractions so that they have the same denominator.
To do this, you will multiply the numerator and denominator of each fraction by a factor that makes the denominators equal.
For the first fraction, 7/8, the factor is 3 because 3 * 8 = 24. So, multiplying both the numerator and denominator of 7/8 by 3, you get (7 * 3) / (8 * 3) = 21/24.
For the second fraction, 5/6, the factor is 4 because 4 * 6 = 24. So, multiplying both the numerator and denominator of 5/6 by 4, you get (5 * 4) / (6 * 4) = 20/24.
Now that the two fractions have the same denominator, you can subtract the numerators while keeping the denominator the same.
21/24 - 20/24 = (21 - 20) / 24 = 1/24.
Therefore, the difference of 7/8 and 5/6 in simplest form is 1/24.