Solve the following exercise:
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Solve the following exercise:
To solve this problem, we need to add the fractions and .
Firstly, we find a common denominator for the fractions. The denominators are 5 and 10. The least common multiple (LCM) of 5 and 10 is 10.
Next, we convert each fraction to an equivalent fraction with the denominator of 10:
Now, we add both fractions: .
Therefore, the solution to the exercise is .
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
You can't add fractions with different denominators directly because they represent different-sized pieces. Think of it like trying to add 2 slices of pizza cut into 5 pieces with 3 slices cut into 10 pieces - you need the same size pieces first!
Look for the Least Common Multiple (LCM) of the denominators. For 5 and 10, since 10 is already a multiple of 5, the LCM is 10. This makes your work easier!
Always check if your final answer can be reduced! For , since 7 and 10 share no common factors other than 1, it's already in simplest form.
Not always! Use the LCM instead. If adding , the LCM of 4 and 6 is 12, not 6. This ensures you find the smallest common denominator.
When you multiply both the numerator and denominator by the same number (2), you create an equivalent fraction: . This doesn't change the value, just the form!
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