Subtracting Fractions: 1 1/2 - 1/8
This article will guide you through subtracting the fractions 1 1/2 - 1/8.
Understanding Mixed Numbers
First, let's understand mixed numbers. 1 1/2 is a mixed number, which means it represents a whole number and a fraction. We can rewrite this mixed number as an improper fraction.
- Multiply the whole number (1) by the denominator of the fraction (2): 1 x 2 = 2
- Add the numerator of the fraction (1): 2 + 1 = 3
- Keep the same denominator (2): 3/2
Now we have the equivalent improper fraction 3/2.
Finding a Common Denominator
Before we can subtract fractions, they need to have the same denominator. The least common denominator (LCD) of 2 and 8 is 8.
- 3/2 is multiplied by 4/4: (3/2) * (4/4) = 12/8
Subtracting the Fractions
Now we can subtract the fractions with the same denominator:
12/8 - 1/8
Subtracting the numerators and keeping the same denominator:
(12 - 1) / 8 = 11/8
Simplifying the Answer
The answer 11/8 is an improper fraction. To convert it to a mixed number:
- Divide the numerator (11) by the denominator (8): 11 ÷ 8 = 1 with a remainder of 3
- The whole number is 1, and the remainder (3) becomes the numerator of the fraction.
- Keep the same denominator: 1 3/8
Therefore, 1 1/2 - 1/8 = 1 3/8.