Subtracting Fractions: 1 1/3 - 5/6
This article will guide you through the process of subtracting the fractions 1 1/3 and 5/6.
Step 1: Convert the Mixed Number to an Improper Fraction
First, convert the mixed number 1 1/3 into an improper fraction. To do this, multiply the whole number (1) by the denominator of the fraction (3) and add the numerator (1). Keep the same denominator.
1 1/3 = (1 * 3 + 1) / 3 = 4/3
Step 2: Find a Common Denominator
The fractions 4/3 and 5/6 have different denominators. To subtract them, we need a common denominator. The least common multiple of 3 and 6 is 6.
- Convert 4/3 to a fraction with a denominator of 6: (4/3) * (2/2) = 8/6
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them:
8/6 - 5/6 = (8 - 5) / 6 = 3/6
Step 4: Simplify the Answer
The fraction 3/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3.
3/6 = (3/3) / (6/3) = 1/2
Therefore, 1 1/3 - 5/6 = 1/2.