Subtracting Mixed Numbers: 4 1/5 - 1 3/5
In this article, we will learn how to subtract mixed numbers, specifically the problem 4 1/5 - 1 3/5. We will break down the steps to solve this problem and provide a clear explanation of each step.
Step 1: Convert Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
4 1/5
To convert 4 1/5 to an improper fraction, we multiply the whole number part (4) by the denominator (5) and then add the numerator (1).
4 × 5 = 20 20 + 1 = 21
So, 4 1/5 is equal to 21/5.
1 3/5
Similarly, to convert 1 3/5 to an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (3).
1 × 5 = 5 5 + 3 = 8
So, 1 3/5 is equal to 8/5.
Step 2: Subtract the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can subtract them.
21/5 - 8/5
To subtract two fractions, we need to have the same denominator. In this case, both fractions already have the same denominator, which is 5. So, we can subtract the numerators and keep the same denominator.
21 - 8 = 13
So, the result of the subtraction is 13/5.
Answer
The result of 4 1/5 - 1 3/5 is 13/5.
That's it! We have successfully subtracted two mixed numbers and obtained the result in fraction form.
