Solving fractions can be a breeze when you break it down into simple steps. Here's how to solve 2/3 + 5/6 in 3 easy steps:
Step 1: Find the Least Common Multiple (LCM)
To add fractions with different denominators, we need to find the least common multiple (LCM) of the two denominators. In this case, the denominators are 3 and 6.
The multiples of 3 are: 3, 6, 9, 12,... The multiples of 6 are: 6, 12, 18, 24,...
As you can see, the least common multiple of 3 and 6 is 6. This means we can convert both fractions to have a denominator of 6.
Converting 2/3 to have a denominator of 6
To convert 2/3 to have a denominator of 6, we can multiply both the numerator and the denominator by 2.
2/3 = (2 x 2) / (3 x 2) = 4/6
Now we have:
4/6 + 5/6
Step 2: Add the Numerators
Since both fractions now have the same denominator (6), we can add the numerators (4 and 5).
4 + 5 = 9
So, the result of the addition is:
9/6
Step 3: Simplify the Result (Optional)
In this case, the result 9/6 can be simplified by dividing both the numerator and the denominator by 3.
9 ÷ 3 = 3 6 ÷ 3 = 2
So, the simplified result is:
3/2
And that's it! You've successfully solved 2/3 + 5/6 in 3 easy steps.
Example Use Cases
- If you have 2/3 of a pizza and your friend has 5/6 of a pizza, you can add the fractions to find out how much pizza you have in total.
- In cooking, you may need to add fractions of ingredients to get the right measurement. For example, if a recipe calls for 2/3 cup of flour and you already have 5/6 cup of flour, you can add the fractions to determine how much more flour you need.
By following these simple steps, you can easily solve fraction addition problems and apply them to real-life scenarios.
We'd love to hear from you! What other fraction problems would you like to solve? Share your questions or problems in the comments below, and we'll be happy to help.
What is the least common multiple (LCM) of two numbers?
+The least common multiple (LCM) of two numbers is the smallest multiple that is common to both numbers. For example, the LCM of 3 and 6 is 6.
How do I simplify a fraction?
+To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator. Then, divide both the numerator and the denominator by the GCD. For example, to simplify 9/6, you can divide both numbers by 3 to get 3/2.
Can I add fractions with different denominators?
+Yes, you can add fractions with different denominators by finding the least common multiple (LCM) of the denominators. Then, convert both fractions to have the LCM as the denominator. Finally, add the numerators and simplify the result if necessary.