Subtracting Fractions: 1 1/4 - 2/3
This article will guide you through the process of subtracting the fraction 2/3 from the mixed number 1 1/4.
Step 1: Convert the Mixed Number to a Fraction
To subtract fractions, we need to have a common denominator. Let's first convert the mixed number 1 1/4 into an improper fraction.
- Multiply the whole number (1) by the denominator (4) and add the numerator (1): (1 * 4) + 1 = 5.
- Keep the same denominator: 5/4
Now we have the equation: 5/4 - 2/3
Step 2: Find a Common Denominator
To subtract fractions, they need to have the same denominator. The least common denominator (LCD) of 4 and 3 is 12.
- Multiply 5/4 by 3/3: (5/4) * (3/3) = 15/12
- Multiply 2/3 by 4/4: (2/3) * (4/4) = 8/12
Now our equation looks like this: 15/12 - 8/12
Step 3: Subtract the Numerators
Now that we have a common denominator, we can simply subtract the numerators.
- 15/12 - 8/12 = 7/12
Answer
Therefore, 1 1/4 minus 2/3 is equal to 7/12.