Fractions in Action: 0 5/4 + 3/8
In this article, we're going to explore a fascinating math problem: 0 5/4 + 3/8. This mixed fraction calculation might seem daunting at first, but fear not, dear reader! We'll break it down step by step, and by the end of this article, you'll be a master of fractions.
Understanding the Problem
Let's take a closer look at the problem: 0 5/4 + 3/8. We have a mixed fraction, 0 5/4, being added to another fraction, 3/8. To solve this, we need to follow the order of operations (PEMDAS) and tackle the fractions separately.
Converting Mixed Fractions
Before we dive into the calculation, let's convert the mixed fraction 0 5/4 to an improper fraction. To do this, we multiply the whole number part (0) by the denominator (4) and then add the numerator (5):
0 × 4 = 0 0 + 5 = 5
So, our mixed fraction becomes:
5/4
Adding Fractions
Now that we have our fractions in the same format, we can focus on adding them. To add fractions with different denominators, we need to find the least common multiple (LCM) of 4 and 8, which is 8. We'll convert both fractions to have a denominator of 8:
5/4 = 10/8 3/8 = 3/8 (no change needed)
The Calculation
Finally, we can add the fractions:
10/8 + 3/8 = 13/8
And there you have it! The result of 0 5/4 + 3/8 is 13/8.
Conclusion
In this article, we've demonstrated how to add a mixed fraction and a fraction with different denominators. By converting the mixed fraction to an improper fraction and finding the least common multiple, we were able to add the fractions and arrive at the solution, 13/8. Remember to follow the order of operations and take your time when working with fractions – with practice, you'll become a pro in no time!
