Work out $\quad \frac{3}{7}+\frac{2}{7}$. Give your answer in its simplest form.
Answer (1)
Add the numerators since the denominators are the same: 3 + 2 = 5 .
Write the result as a fraction with the common denominator: 7 5 .
Check if the fraction can be simplified. In this case, 7 5 is already in its simplest form.
The final answer is 7 5 .
Explanation
Understanding the problem We are asked to calculate the sum of two fractions, 7 3 and 7 2 , and to give the answer in its simplest form.
Adding the fractions Since the two fractions have the same denominator, we can add them by simply adding their numerators and keeping the same denominator. So, we have:
Calculating the sum 7 3 + 7 2 = 7 3 + 2 = 7 5
Simplifying the fraction Now we need to check if the fraction 7 5 can be simplified. The number 5 is a prime number, and 7 is also a prime number. Since they don't have any common factors other than 1, the fraction is already in its simplest form.
Final Answer Therefore, the sum of 7 3 and 7 2 in its simplest form is 7 5 .
Examples
Fractions are used in everyday life, such as when measuring ingredients for a recipe. For example, if you need 7 3 of a cup of flour and you add another 7 2 of a cup, you will have a total of 7 5 of a cup of flour. Understanding how to add fractions is essential for accurate measurements and successful cooking.
