$\frac{4}{6}+\frac{1}{3}$
Answer (1)
Find a common denominator: The least common denominator for 6 and 3 is 6.
Convert 3 1 to 6 2 .
Add the fractions: 6 4 + 6 2 = 6 6 .
Simplify: 6 6 = 1 .
Explanation
Understanding the problem We are asked to find the sum of two fractions: 6 4 and 3 1 . To add fractions, they must have a common denominator.
Finding a common denominator The least common denominator (LCD) of 6 and 3 is 6. We need to convert 3 1 to an equivalent fraction with a denominator of 6. To do this, we multiply both the numerator and the denominator of 3 1 by 2: 3 1 = 3 × 2 1 × 2 = 6 2
Adding the fractions Now that both fractions have the same denominator, we can add them: 6 4 + 6 2 = 6 4 + 2 = 6 6
Simplifying the result Finally, we simplify the fraction: 6 6 = 1
Final Answer Therefore, the sum of 6 4 and 3 1 is 1.
Examples
Fractions are used in everyday life, such as when baking, measuring ingredients, or splitting a bill with friends. For example, if you have a pizza cut into 6 slices and you eat 4 slices, you've eaten 6 4 of the pizza. If a friend eats 3 1 of the pizza, you can add the fractions to find the total amount of pizza eaten: 6 4 + 3 1 = 1 , meaning the whole pizza was eaten.
