5 1/8 - 1 3/8 as a Fraction
In this article, we will learn how to subtract two mixed numbers, specifically 5 1/8 and 1 3/8, and convert the result into a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To subtract two mixed numbers, we need to convert them into improper fractions first. Here's how to do it:
- 5 1/8 = 41/8 (multiply the whole number part by the denominator, then add the numerator)
- 1 3/8 = 11/8 (multiply the whole number part by the denominator, then add the numerator)
Step 2: Subtract the Improper Fractions
Now that we have the improper fractions, we can subtract them:
41/8 - 11/8 = ?
To subtract fractions with the same denominator, we subtract the numerators and keep the same denominator:
41 - 11 = 30
So, the result of the subtraction is:
30/8
Step 3: Simplify the Fraction
Finally, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 30 and 8 is 2. So, we divide both numbers by 2:
30 ÷ 2 = 15 8 ÷ 2 = 4
The simplified fraction is:
15/4
Therefore, 5 1/8 - 1 3/8 as a fraction is equal to 15/4.
