Subtracting Fractions: 1 1/8 - 3/4
This article will walk you through the steps of subtracting the fractions 1 1/8 and 3/4.
Step 1: Convert Mixed Number to a Fraction
First, we need to convert the mixed number, 1 1/8, into an improper fraction. To do this, multiply the whole number (1) by the denominator (8) and add the numerator (1). Keep the same denominator.
1 1/8 = (1 * 8 + 1) / 8 = 9/8
Step 2: Find a Common Denominator
Next, we need to find a common denominator for 9/8 and 3/4. The least common multiple of 8 and 4 is 8.
To change 3/4 to a fraction with a denominator of 8, multiply both the numerator and denominator by 2:
3/4 = (3 * 2) / (4 * 2) = 6/8
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them:
9/8 - 6/8 = (9 - 6) / 8 = 3/8
Conclusion
Therefore, 1 1/8 minus 3/4 equals 3/8.