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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We have the fractions and .
Step 2: Check the denominators. The denominators are 5 and 10. The least common multiple of 5 and 10 is 10. Thus, our common denominator will be 10.
Step 3: Convert each fraction to an equivalent fraction with a denominator of 10:
is equivalent to (since must equal 10, multiply both numerator and denominator by 2).
Step 4: The fraction already has the denominator of 10.
Thus, .
Therefore, the answer to the problem is , which corresponds to choice 1.
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
Because fractions represent parts of different wholes! means 3 parts out of 5, while means 3 parts out of 10. You need the same-sized pieces (common denominator) before adding.
Look for the smallest number that both denominators divide into evenly. Since 5 goes into 10, and 10 goes into 10, the LCD of 5 and 10 is simply 10!
Not always! Sometimes the second fraction needs converting, sometimes both do. In this case, already has denominator 10, so only needs converting.
That's perfectly fine! is a proper fraction, but if you got something like , you could leave it as is or convert to .
Convert both fractions to decimals and add: and , so 0.6 + 0.3 = 0.9 = ✓
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