Solve the following exercise:
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Solve the following exercise:
To solve the problem of adding two fractions, follow these steps:
Therefore, the sum of is .
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
Because and represent different sized pieces! Think of pizza slices - you can't add 1 slice from a 5-piece pizza to 2 slices from a 3-piece pizza without first making the pieces the same size.
For denominators 5 and 3, check if one divides into the other. Since they don't, multiply them together: 5 × 3 = 15. For more complex problems, find the least common multiple of the denominators.
Not always! If one denominator divides evenly into the other (like 4 and 8), use the larger one. Only multiply when the denominators share no common factors, like 5 and 3.
Always check if your final answer can be reduced! Look for common factors in the numerator and denominator. In this case, cannot be simplified since 13 and 15 share no common factors.
You could use 30, 45, or any multiple of 15, but it makes the problem harder! The least common denominator gives you the smallest numbers to work with, reducing calculation errors.
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