Subtracting Fractions: 1 1/3 - 5/6
This article will guide you through the steps of subtracting the fractions 1 1/3 and 5/6.
Step 1: Convert Mixed Number to Improper Fraction
First, we need to convert the mixed number 1 1/3 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (1), keeping the same denominator.
(1 x 3) + 1 = 4 1 1/3 becomes 4/3
Step 2: Find a Common Denominator
The fractions 4/3 and 5/6 have different denominators. To subtract them, we need to find a common denominator. The least common multiple of 3 and 6 is 6.
- 4/3 needs to be multiplied by 2/2 (which equals 1, so we aren't changing the value): (4/3) x (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 = 3/6
Step 4: Simplify the Fraction
The fraction 3/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3.
3/6 simplifies to 1/2
Conclusion
Therefore, 1 1/3 - 5/6 = 1/2.