Add.
$\frac{-7}{8}+\frac{1}{2}=$
Answer (1)
Find a common denominator for the fractions, which is 8.
Convert 2 1 to 8 4 .
Add the fractions: 8 − 7 + 8 4 = 8 − 3 .
The final answer is 8 − 3 .
Explanation
Finding a Common Denominator We are asked to add two fractions: 8 − 7 and 2 1 . To do this, we need to find a common denominator.
Rewriting the Fractions The least common denominator (LCD) of 8 and 2 is 8. We need to rewrite the fraction 2 1 with the denominator 8.
Converting to Equivalent Fractions To rewrite 2 1 with a denominator of 8, we multiply both the numerator and the denominator by 4: 2 1 = 2 × 4 1 × 4 = 8 4 .
Adding the Fractions Now we can add the two fractions: 8 − 7 + 8 4 .
Simplifying the Result To add fractions with a common denominator, we add the numerators and keep the denominator: 8 − 7 + 4 = 8 − 3 .
Final Answer Therefore, the sum of the two fractions is 8 − 3 .
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. For example, if you have a pizza with 8 slices and you eat 3 slices, you have eaten 8 3 of the pizza. If a friend eats 1/2 of the pizza, we can calculate the remaining amount by subtracting the fractions.
