Subtracting Fractions: 1 1/3 - 7/8
In this article, we will learn how to subtract one fraction from another, specifically 1 1/3 minus 7/8.
Converting Mixed Numbers to Improper Fractions
Before we can subtract these fractions, we need to convert the mixed number 1 1/3 to an improper fraction.
1 1/3 = (1 × 3) + 1 / 3 = 4 / 3
Subtracting Fractions
Now that we have converted the mixed number to an improper fraction, we can subtract 7/8 from 4/3.
To subtract fractions, we need to find the least common multiple (LCM) of the denominators, which are 3 and 8. The LCM of 3 and 8 is 24. We need to convert both fractions to have a denominator of 24:
4/3 = (4 × 8) / (3 × 8) = 32/24 7/8 = (7 × 3) / (8 × 3) = 21/24
Now we can subtract:
32/24 - 21/24 = 11/24
Simplifying the Result
We have successfully subtracted the fractions, and the result is 11/24.
So, 1 1/3 - 7/8 = 11/24.
