Subtraction of Mixed Numbers: 6 1/8 - 2 3/8
In this article, we will learn how to subtract mixed numbers, specifically 6 1/8 minus 2 3/8.
Step 1: Convert Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them to improper fractions first.
6 1/8 = ?
6 1/8 = 6 + 1/8
= 48/8 + 1/8
= 49/8
2 3/8 = ?
2 3/8 = 2 + 3/8
= 16/8 + 3/8
= 19/8
Step 2: Subtract the Improper Fractions
Now that we have converted the mixed numbers to improper fractions, we can subtract them.
49/8 - 19/8 = ?
49/8 - 19/8 = (49 - 19)/8
= 30/8
Step 3: Simplify the Fraction (if possible)
We can simplify the fraction 30/8 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2.
30/8 = ?
30/8 = (30 ÷ 2)/(8 ÷ 2)
= 15/4
Step 4: Convert the Improper Fraction back to Mixed Number (if possible)
Since the numerator 15 is greater than the denominator 4, we can convert the improper fraction back to a mixed number.
15/4 = ?
15/4 = 3 3/4
The Final Answer
Therefore, 6 1/8 minus 2 3/8 is equal to 3 3/4.
