Add.
$\frac{-3}{8}+\frac{1}{8}=$
Answer (2)
Add the numerators: − 3 + 1 = − 2 .
Keep the denominator: The fraction becomes 8 − 2 .
Simplify the fraction by dividing both numerator and denominator by 2: 8 − 2 = 4 − 1 .
The final answer is 4 − 1 .
Explanation
Understanding the Problem We are asked to add two fractions, 8 − 3 and 8 1 . Both fractions have the same denominator, which makes the addition straightforward. When adding fractions with the same denominator, we simply add the numerators and keep the denominator the same.
Adding the Numerators To add the fractions 8 − 3 and 8 1 , we add the numerators: − 3 + 1 . The result of this addition is − 2 . Therefore, the sum of the fractions is 8 − 2 .
Simplifying the Fraction Now we simplify the fraction 8 − 2 . Both the numerator and the denominator are divisible by 2. Dividing both by 2, we get 8 ÷ 2 − 2 ÷ 2 = 4 − 1 .
Final Answer Therefore, 8 − 3 + 8 1 = 4 − 1 .
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. Understanding how to add and subtract fractions, especially negative fractions, is essential for accurate calculations in these situations. For example, if you have $\frac{-3}{8} o f a p i zz aan d so m eo n e g i v esyo u \frac{1}{8} o f a p i zz a , yo u n o w ha v e \frac{-1}{4} o f a p i zz a , w hi c hm e an syo u s t i ll o w e \frac{1}{4}$ of the pizza.
To add 8 − 3 and 8 1 , we combine the numerators to get 8 − 2 . Simplifying this fraction leads us to the final answer of 4 − 1 . Thus, 8 − 3 + 8 1 = 4 − 1 .
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