Adding Fractions: 4/10 + 5/6 as a Fraction
When dealing with fractions, adding them together can seem daunting. However, with a few simple steps, you can easily add fractions and express the result as a fraction.
Step 1: Find a Common Denominator
To add fractions, we need to find a common denominator between the two fractions. The least common multiple (LCM) of 10 and 6 is 30. So, we will convert both fractions to have a denominator of 30.
Converting 4/10 to 12/30
To convert 4/10 to have a denominator of 30, we can multiply both the numerator and denominator by 3.
4/10 = (4 × 3) / (10 × 3) = 12/30
Converting 5/6 to 25/30
To convert 5/6 to have a denominator of 30, we can multiply both the numerator and denominator by 5.
5/6 = (5 × 5) / (6 × 5) = 25/30
Step 2: Add the Fractions
Now that we have both fractions with a common denominator, we can add them together.
12/30 + 25/30 = (12 + 25) / 30
Simplifying the Result
Let's simplify the result by combining the numerators.
12 + 25 = 37
So, the result of adding the fractions is:
37/30
And that's the result! We have successfully added the fractions 4/10 and 5/6 to get 37/30 as a fraction.
