Adding Fractions: 1 3/4 + 9/10 as a Fraction
When working with fractions, it's essential to understand how to add them correctly. In this article, we'll guide you through the process of adding two fractions: 1 3/4 and 9/10.
Step 1: Convert Mixed Numbers to Improper Fractions
To add these fractions, we need to convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = 7/4 (multiply the whole number part by the denominator and add the numerator)
So, our fractions are:
- 7/4
- 9/10
Step 2: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 10. The LCM is the smallest number that both denominators can divide into evenly.
The LCM of 4 and 10 is 20.
Step 3: Convert Fractions to Have a Common Denominator
Now, we need to convert both fractions to have a denominator of 20:
- 7/4 = 35/20 (multiply numerator and denominator by 5)
- 9/10 = 18/20 (multiply numerator and denominator by 2)
Step 4: Add the Fractions
Now that we have common denominators, we can add the fractions:
35/20 + 18/20 = 53/20
The Result
The result of adding 1 3/4 and 9/10 as a fraction is:
53/20
There you have it! You've successfully added two fractions and obtained the result as an improper fraction.
