5/6 Plus 1/10 As A Fraction

2 min read Jul 27, 2024
5/6 Plus 1/10 As A Fraction

5/6 plus 1/10 as a Fraction

Adding fractions can be a bit tricky, but don't worry, we're here to help! In this article, we'll show you how to add 5/6 and 1/10 as a fraction.

Step 1: Find the Least Common Multiple (LCM)

To add fractions, we need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 6 and 10.

The multiples of 6 are: 6, 12, 18, 24, 30, ... The multiples of 10 are: 10, 20, 30, 40, ...

The first number that appears in both lists is 30. Therefore, the LCM is 30.

Step 2: Convert the Fractions

Now that we have the LCM, we need to convert both fractions to have a denominator of 30.

5/6 = (5 x 5) / (6 x 5) = 25/30 1/10 = (1 x 3) / (10 x 3) = 3/30

Step 3: Add the Fractions

Now that both fractions have the same denominator, we can add them:

25/30 + 3/30 = (25 + 3) / 30 = 28/30

Simplify the Fraction

Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 28 and 30 is 2. Therefore, we can simplify the fraction as follows:

28/30 = (28 ÷ 2) / (30 ÷ 2) = 14/15

And that's it! The result of adding 5/6 and 1/10 as a fraction is 14/15.

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