Adding Mixed Numbers: 2 3/8 + 1 1/4 in Fraction Form
When working with mixed numbers, adding them together can be a bit challenging. In this article, we will explore how to add 2 3/8 and 1 1/4 in fraction form.
Converting Mixed Numbers to Improper Fractions
Before we can add these mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
2 3/8
To convert 2 3/8 to an improper fraction, we multiply the whole number part (2) by the denominator (8) and then add the numerator (3).
2 × 8 = 16 16 + 3 = 19
So, 2 3/8 is equal to 19/8.
1 1/4
Similarly, to convert 1 1/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (1).
1 × 4 = 4 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
Adding the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can add them together.
19/8 + 5/4
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 8 and 4 is 8. So, we can convert 5/4 to 10/8 by multiplying both the numerator and denominator by 2.
19/8 + 10/8
Now, we can add the numerators:
19 + 10 = 29
So, the result of adding 2 3/8 and 1 1/4 is 29/8.
Conclusion
In conclusion, adding mixed numbers can be simplified by converting them to improper fractions and then finding a common denominator. By following these steps, we can easily add 2 3/8 and 1 1/4 to get 29/8.
