Fraction Subtraction: 3/5 - 3/10
In this article, we will learn how to subtract fractions with different denominators. Specifically, we will focus on subtracting 3/10 from 3/5.
Understanding the Problem
Before we dive into the solution, let's break down the problem:
3/5 is the dividend (the number being subtracted from) 3/10 is the subtrahend (the number being subtracted)
To subtract these fractions, we need to find a common denominator between 5 and 10.
Finding the Common Denominator
The least common multiple (LCM) of 5 and 10 is 10. Therefore, we can convert both fractions to have a denominator of 10:
3/5 = 6/10 (multiply numerator and denominator by 2) 3/10 = 3/10 (no change needed)
Subtracting the Fractions
Now that we have the same denominator, we can subtract the fractions:
6/10 - 3/10 = 3/10
Simplifying the Answer
Our final answer is 3/10. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case. Therefore, the simplified answer remains 3/10.
In conclusion, the result of subtracting 3/10 from 3/5 is 3/10.
