Add the numerators since the denominators are the same: 10 1 + 10 1 = 10 1 + 1 .
Simplify the numerator: 10 2 .
Divide both the numerator and the denominator by their greatest common divisor, which is 2.
The simplified fraction is 5 1 .
Explanation
Understanding the problem We are asked to add two fractions: 10 1 and 10 1 .
Adding the numerators Since the fractions have the same denominator, we can add the numerators directly.
Performing the addition 10 1 + 10 1 = 10 1 + 1 = 10 2
Simplifying the fraction Now, we simplify the fraction 10 2 by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
Simplified result 10 2 = 10 ÷ 2 2 ÷ 2 = 5 1
Final Answer Therefore, the sum of 10 1 and 10 1 is 5 1 .
Examples
Fractions are used in everyday life, such as when splitting a pizza or measuring ingredients for a recipe. For example, if you have a pizza cut into 10 slices and you eat one slice, you have eaten 10 1 of the pizza. If a friend also eats one slice, together you have eaten 10 1 + 10 1 = 10 2 = 5 1 of the pizza.