Converting 1 1/3 - 7/8 as a Fraction
In this article, we will explore how to convert the mixed number 1 1/3 - 7/8 as a fraction.
Step 1: Convert the Mixed Numbers to Improper Fractions
To begin, we need to convert the mixed numbers to improper fractions.
1 1/3 = (1 × 3 + 1) / 3 = 4/3
Now, let's convert the second mixed number:
7/8 = 7/8 (already an improper fraction)
Step 2: Perform Subtraction
Now that we have both numbers as improper fractions, we can perform subtraction:
4/3 - 7/8 = ?
To subtract these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 8 is 24. So, we'll convert both fractions to have a denominator of 24:
(4 × 8) / (3 × 8) = 32/24 (7 × 3) / (8 × 3) = 21/24
Now, we can subtract:
32/24 - 21/24 = (32 - 21) / 24 = 11/24
Result
Therefore, 1 1/3 - 7/8 as a fraction is 11/24.
