\frac{-5}{16}+\frac{3}{8}=
Answer (2)
Find the least common denominator (LCD) of the two fractions, which is 16.
Rewrite the second fraction with the LCD: 8 3 = 16 6 .
Add the two fractions: 16 − 5 + 16 6 = 16 − 5 + 6 .
Simplify the numerator and write the final result: 16 1 .
Explanation
Finding a Common Denominator We are asked to calculate the sum of two fractions: 16 − 5 and 8 3 . To add these fractions, we need to find a common denominator.
Rewriting the Second Fraction The least common denominator (LCD) of 16 and 8 is 16. We need to rewrite the second fraction, 8 3 , with a denominator of 16. To do this, we multiply both the numerator and the denominator of 8 3 by 2: 8 3 = 8 × 2 3 × 2 = 16 6
Adding the Fractions Now that both fractions have the same denominator, we can add them: 16 − 5 + 16 6 = 16 − 5 + 6
Simplifying the Numerator Next, we simplify the numerator: − 5 + 6 = 1 So, the sum is: 16 1
Final Answer Therefore, the final answer is 16 1 .
Examples
Fractions are used in everyday life, such as when baking, measuring ingredients, or splitting a bill with friends. Understanding how to add and subtract fractions is essential for accurate calculations in these situations. For example, if you have 16 5 of a pizza left and your friend eats 8 3 of the pizza, you can calculate how much pizza is left by subtracting the fractions.
To add the fractions 16 − 5 and 8 3 , we first rewrite 8 3 as 16 6 . Adding them gives 16 − 5 + 6 = 16 1 . Therefore, the final answer is 16 1 .
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