Solve the following exercise:
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Solve the following exercise:
To solve the problem of adding and , we need to follow these steps:
Let's perform each step:
Step 1: Convert to a fraction with a denominator of 8.
To do this, we multiply both the numerator and the denominator of by 2, since .
This gives us .
Step 2: Add and .
Since both fractions now have the same denominator, we can add the numerators directly:
.
Step 3: Verify the solution.
The calculated sum of the fractions is . This matches choice 1 in the given answer choices.
The solution to the problem is .
\( \)\( \frac{4}{5}+\frac{1}{5}= \)
Fractions represent parts of a whole. You can only add parts when they're from the same-sized whole! Different denominators mean different-sized pieces, so you must make them the same size first.
Since 8 is a multiple of 4 (4 × 2 = 8), use 8 as your common denominator. For other cases, find the least common multiple (LCM) of both denominators.
Double-check your work! Make sure you converted to the right common denominator and added only the numerators. If you still don't match, try simplifying your answer.
Not always, but it's good practice! Check if the numerator and denominator share any common factors. In this case, is already in simplest form.
Yes! You could use any common multiple of 4 and 8, like 16 or 24. However, using the smallest common denominator (8) makes the math easier and reduces errors.
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