Simplifying Fractions: 5/6 - 3/8
In this article, we will learn how to simplify the subtraction of two fractions: 5/6 - 3/8. We will go through the step-by-step process to find the result in its simplest form.
Step 1: Find the Least Common Multiple (LCM)
To subtract two fractions, we need to find the least common multiple (LCM) of the denominators, which are 6 and 8. The LCM of 6 and 8 is 24. So, we need to convert both fractions to have a denominator of 24.
Convert 5/6 to have a denominator of 24
To convert 5/6 to have a denominator of 24, we need to multiply both the numerator and denominator by 4.
(5 × 4) / (6 × 4) = 20/24
Convert 3/8 to have a denominator of 24
To convert 3/8 to have a denominator of 24, we need to multiply both the numerator and denominator by 3.
(3 × 3) / (8 × 3) = 9/24
Step 2: Subtract the Fractions
Now that we have both fractions with the same denominator, we can subtract them.
20/24 - 9/24 = (20 - 9) / 24
= 11/24
Result
The result of 5/6 - 3/8 is 11/24.
So, the simplified fraction is 11/24.
