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In Mathematics / College | 2025-07-07

Add.
$\frac{1}{10}+\frac{1}{10}=$

Asked by beiba26

Answer (1)

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.

Answered by GinnyAnswer | 2025-07-07