How to Subtract 1 1/4 and 2/3 in Fraction Form
This article will guide you through the steps of subtracting 2/3 from 1 1/4 in fraction form.
Step 1: Convert Mixed Number to Improper Fraction
First, we need to convert the mixed number, 1 1/4, into an improper fraction. To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.
1 1/4 = (1 * 4 + 1) / 4 = 5/4
Step 2: Find a Common Denominator
Now, we have 5/4 - 2/3. To subtract fractions, they must have the same denominator. We need to find the least common multiple (LCM) of 4 and 3. The LCM of 4 and 3 is 12.
We will convert 5/4 and 2/3 to fractions with a denominator of 12.
5/4 = (5 * 3) / (4 * 3) = 15/12
2/3 = (2 * 4) / (3 * 4) = 8/12
Step 3: Subtract the Fractions
Now that the fractions have the same denominator, we can subtract them.
15/12 - 8/12 = (15 - 8)/12 = 7/12
Step 4: Simplify the Result
The fraction 7/12 is already in its simplest form, as 7 and 12 have no common factors other than 1.
Answer
Therefore, 1 1/4 minus 2/3 in fraction form is 7/12.