Subtract.
$\frac{3}{8}-\frac{-1}{8}=$
Answer (2)
To solve 8 3 − 8 − 1 , we convert it to addition, resulting in 8 3 + 8 1 = 8 4 . This simplifies to 2 1 . Thus, the final answer is 2 1 .
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Rewrite the subtraction as addition: 8 3 − ( − 8 1 ) = 8 3 + 8 1 .
Add the numerators: 8 3 + 1 = 8 4 .
Simplify the fraction: 8 4 = 2 1 .
The final answer is 2 1 .
Explanation
Understanding the Problem We are asked to subtract − 8 1 from 8 3 . This involves subtracting a negative fraction, which is the same as adding the positive fraction.
Rewriting the Subtraction as Addition To subtract a negative fraction, we can rewrite the expression as an addition problem: 8 3 − ( − 8 1 ) = 8 3 + 8 1 Since the denominators are the same, we can add the numerators directly.
Adding the Fractions and Simplifying Adding the numerators, we get: 8 3 + 1 = 8 4 Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4: 8 4 = 8 ÷ 4 4 ÷ 4 = 2 1
Final Answer Therefore, the result of the subtraction is 2 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 8 3 of a pizza and your friend eats − 8 1 (meaning you get it back), you now have 8 3 + 8 1 = 8 4 = 2 1 of the pizza.
