Subtracting Fractions: 1 1/8 - 5/8
This article will guide you through the steps of subtracting the fractions 1 1/8 and 5/8.
Step 1: Convert the Mixed Number to a Fraction
First, convert the mixed number 1 1/8 into an improper fraction. To do this, multiply the whole number (1) by the denominator of the fraction (8) and add the numerator (1). Keep the same denominator.
1 1/8 = (1 * 8 + 1)/8 = 9/8
Step 2: Subtract the Fractions
Now that both numbers are fractions, we can subtract them. To subtract fractions, they must have the same denominator. In this case, they both have a denominator of 8.
9/8 - 5/8
To subtract, simply subtract the numerators and keep the denominator.
(9 - 5)/8 = 4/8
Step 3: Simplify the Fraction
The fraction 4/8 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 4.
4/8 = (4/4)/(8/4) = 1/2
Conclusion:
Therefore, 1 1/8 - 5/8 = 1/2.