5 7/8 Plus 1 1/3 as a Fraction
In this article, we will learn how to add two mixed numbers, 5 7/8 and 1 1/3, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add these two mixed numbers, we need to convert them into improper fractions first.
5 7/8
The whole number part is 5, and the fraction part is 7/8. To convert this to an improper fraction, we multiply the whole number part by the denominator (8) and then add the numerator (7).
5 × 8 = 40 40 + 7 = 47
So, 5 7/8 is equal to 47/8.
1 1/3
The whole number part is 1, and the fraction part is 1/3. To convert this to an improper fraction, we multiply the whole number part by the denominator (3) and then add the numerator (1).
1 × 3 = 3 3 + 1 = 4
So, 1 1/3 is equal to 4/3.
Step 2: Add the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can add them.
47/8 + 4/3
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 8 and 3. The LCM of 8 and 3 is 24.
Convert the Fractions to Have the Same Denominator
We need to convert both fractions to have a denominator of 24.
47/8 = (47 × 3) / (8 × 3) = 141/24 4/3 = (4 × 8) / (3 × 8) = 32/24
Now we can add the fractions:
141/24 + 32/24 = 173/24
Step 3: Simplify the Fraction (Optional)
The resulting fraction, 173/24, is already in its simplest form. However, if you want to simplify it further, you can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 173 and 24 is 1, so the fraction is already in its simplest form.
Conclusion
5 7/8 plus 1 1/3 as a fraction is equal to 173/24.
