[Clean the question above and then proceed with classification]
$\frac{1}{6} + \frac{1}{4}$
Answer (2)
Find a common denominator for the fractions 6 1 and 4 1 , which is 12.
Convert 6 1 to 12 2 and 4 1 to 12 3 .
Add the fractions: 12 2 + 12 3 = 12 5 .
The result of the addition is 12 5 .
Explanation
Finding a Common Denominator We are asked to evaluate the sum of two fractions: 6 1 + 4 1 . To add these fractions, we need to find a common denominator.
Determining the LCM The least common multiple (LCM) of 6 and 4 is 12. So, we will rewrite both fractions with a denominator of 12.
Converting 1/6 To convert 6 1 to a fraction with a denominator of 12, we multiply both the numerator and the denominator by 2: 6 1 = 6 × 2 1 × 2 = 12 2 .
Converting 1/4 To convert 4 1 to a fraction with a denominator of 12, we multiply both the numerator and the denominator by 3: 4 1 = 4 × 3 1 × 3 = 12 3 .
Adding the Fractions Now we can add the two fractions: 12 2 + 12 3 = 12 2 + 3 = 12 5 .
Final Result Therefore, the sum of 6 1 and 4 1 is 12 5 .
Examples
Fractions are used in everyday life, such as when baking a cake. If a recipe calls for 6 1 cup of sugar and 4 1 cup of flour, you need to add these fractions to know the total amount of dry ingredients. Understanding how to add fractions helps you accurately measure ingredients and follow recipes.
To add 6 1 and 4 1 , we find a common denominator, which is 12. We convert the fractions to 12 2 and 12 3 , and then add them to get 12 5 . Therefore, the answer is 12 5 .
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