Subtracting Fractions: 1 1/2 - 5/8
This article will guide you through the process of subtracting the fractions 1 1/2 and 5/8.
Understanding Mixed Numbers
The first fraction, 1 1/2, is a mixed number. This means it combines a whole number (1) and a fraction (1/2).
Converting to Improper Fractions
Before we can subtract, we need to convert the mixed number into an improper fraction. To do this:
- Multiply the whole number by the denominator: 1 * 2 = 2
- Add the numerator: 2 + 1 = 3
- Keep the same denominator: 3/2
Now we have 3/2 - 5/8.
Finding a Common Denominator
To subtract fractions, they need to have the same denominator. The least common denominator for 2 and 8 is 8.
- Multiply 3/2 by 4/4: (3/2) * (4/4) = 12/8
- Keep 5/8 the same: 5/8
Now we have 12/8 - 5/8.
Subtracting the Fractions
Finally, we can subtract the numerators while keeping the same denominator:
12/8 - 5/8 = 7/8
The Answer
Therefore, 1 1/2 - 5/8 equals 7/8.