Add.
$\frac{-2}{5}+\frac{-3}{5}=$
Answer (2)
Add the numerators: − 2 + ( − 3 ) = − 5 .
Keep the common denominator: 5 − 5 .
Simplify the fraction: 5 − 5 = − 1 .
The final answer is − 1 .
Explanation
Understanding the Problem We are asked to add two fractions, 5 − 2 and 5 − 3 . Notice that both fractions share the same denominator, which makes the addition straightforward.
Adding the Numerators To add fractions with the same denominator, we simply add the numerators and keep the denominator the same. So, we have: 5 − 2 + 5 − 3 = 5 − 2 + ( − 3 )
Simplifying the Numerator Now, let's simplify the numerator. We have − 2 + ( − 3 ) = − 5 . Therefore, the fraction becomes: 5 − 5
Simplifying the Fraction Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5. This gives us: 5 − 5 = − 1
Final Answer Therefore, the sum of 5 − 2 and 5 − 3 is − 1 .
Examples
Fractions are used in everyday life, such as when calculating proportions in recipes or determining discounts while shopping. For instance, if you are using 5 2 of a bag of flour for one recipe and 5 3 of the same bag for another, you can add these fractions to determine that you've used a total of 5 5 , or the entire bag of flour. Understanding how to add fractions is essential for accurate measurements and calculations in various practical situations.
To add the fractions 5 − 2 and 5 − 3 , we sum the numerators to get − 5 and keep the common denominator of 5. This simplifies to 5 − 5 = − 1 . Thus, the sum is − 1 .
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