\frac{7}{10}+\frac{5}{10}
Answer (2)
Add the numerators: 7 + 5 = 12 .
Write the result as a fraction: 10 12 .
Simplify the fraction by dividing by the greatest common divisor (2): 10 ÷ 2 12 ÷ 2 = 5 6 .
The final answer is 5 6 .
Explanation
Understanding the Problem We are asked to calculate the sum of two fractions: 10 7 and 10 5 . Both fractions have the same denominator, which makes the addition straightforward.
Adding the Numerators Since the denominators are the same, we can add the numerators directly: 7 + 5 = 12 .
Forming the Fraction Now, we write the result as a fraction with the common denominator: 10 12 .
Simplifying the Fraction We simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 10 ÷ 2 12 ÷ 2 = 5 6 .
Final Answer The final answer is 5 6 . We can also convert this improper fraction to a mixed number: 5 6 = 1 5 1 . As a decimal, this is 1.2.
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 7 slices, you have eaten 10 7 of the pizza. If your friend eats 5 slices, they have eaten 10 5 of the pizza. Together, you and your friend have eaten 10 7 + 10 5 = 10 12 = 5 6 of the pizza, which is more than one whole pizza!
To find 10 7 + 10 5 , we add the numerators to get 10 12 . This fraction can be simplified to 5 6 or expressed as a mixed number, 1 5 1 . In decimal form, the result is 1.2.
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