Simplifying Mixed Numbers: 1 1/4 - 5/8
This article will guide you through the process of subtracting mixed numbers and fractions. Let's break down how to calculate 1 1/4 - 5/8.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction. In our example, 1 1/4 represents one whole unit plus one-fourth of another unit.
Converting Mixed Numbers to Fractions
To subtract fractions easily, we need to convert the mixed number into a single fraction. Here's how:
- Multiply the whole number by the denominator of the fraction: 1 x 4 = 4
- Add the numerator to the result: 4 + 1 = 5
- Keep the original denominator: 5/4
Now, our mixed number (1 1/4) is represented as the fraction 5/4.
Finding a Common Denominator
Before subtracting, both fractions need to have the same denominator. The smallest common denominator for 4 and 8 is 8.
- 5/4 remains as 5/4
- 5/8 remains as 5/8
Subtracting Fractions
Now that we have common denominators, we can subtract the numerators:
5/4 - 5/8 = (10/8) - (5/8) = 5/8
Result
Therefore, 1 1/4 - 5/8 equals 5/8.