Subtracting Fractions: 1 1/4 - 5/8
This article will guide you through the process of subtracting the fractions 1 1/4 and 5/8.
Understanding Mixed Numbers and Fractions
Before we begin, let's define our terms:
- Mixed number: A number that combines a whole number and a fraction, like 1 1/4.
- Fraction: A number that represents a part of a whole, like 5/8.
Step 1: Convert the Mixed Number to a Fraction
To subtract fractions, we need to work with the same type of number. So, let's convert the mixed number 1 1/4 into an improper fraction:
- Multiply the whole number by the denominator: 1 * 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Now we have 5/4 - 5/8.
Step 2: Find a Common Denominator
We need to make sure both fractions have the same denominator to subtract them. The least common multiple of 4 and 8 is 8.
- Change 5/4 to an equivalent fraction with a denominator of 8: Multiply both numerator and denominator by 2: (5 * 2) / (4 * 2) = 10/8
Now we have 10/8 - 5/8.
Step 3: Subtract the Numerators
Since the denominators are the same, we can simply subtract the numerators: 10 - 5 = 5.
Step 4: Keep the Denominator
The denominator remains the same: 5/8.
Final Answer
Therefore, 1 1/4 - 5/8 = 5/8.