Subtracting Fractions: 6 1/8 - 3/8
In this article, we will learn how to subtract two mixed numbers, specifically 6 1/8 and 3/8. Subtracting fractions can be a bit tricky, but with the right steps, you'll be able to do it with ease.
Step 1: Convert the Mixed Numbers to Improper Fractions
To subtract these two mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than the denominator.
Convert 6 1/8 to an Improper Fraction
6 1/8 = 6 × 8/8 + 1/8 = 48/8 + 1/8 = 49/8
Convert 3/8 to an Improper Fraction
Since 3/8 is already a fraction, we don't need to convert it.
Step 2: Subtract the Fractions
Now that we have our improper fractions, we can subtract them.
49/8 - 3/8 = ?
To subtract these fractions, we need to have the same denominator, which is 8 in this case.
49/8 - 3/8 = (49 - 3)/8 = 46/8
Step 3: Simplify the Fraction (Optional)
We can simplify the fraction 46/8 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case.
46 ÷ 2 = 23 8 ÷ 2 = 4
So, 46/8 = 23/4
The Final Answer
Therefore, 6 1/8 - 3/8 = 23/4.
I hope this article has helped you understand how to subtract mixed numbers and fractions. Remember to always follow the steps and simplify your answer if possible.
