Solve the following exercise:
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Solve the following exercise:
To solve the expression , we first seek a common denominator for the fractions. The denominators are 10, 5, and 2.
The least common multiple of these numbers is 10, as it is the smallest number that all denominators divide perfectly.
Now, the expression becomes .
Perform the operations:
Thus, the value of the expression is .
The correct answer is .
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
Look at your denominators (10, 5, and 2). Find the smallest number that all of them divide into evenly. Since 10 ÷ 10 = 1, 10 ÷ 5 = 2, and 10 ÷ 2 = 5, the LCD is 10!
Fractions represent parts of a whole. You can only combine parts when they're the same size (same denominator). It's like trying to add pizza slice with pizza slice - you need equal-sized pieces first!
Yes, always check if your answer can be simplified! can be reduced to by dividing both numerator and denominator by their greatest common factor (2).
Lucky you! You can work with those fractions immediately. In this problem, already has denominator 10, so you only need to convert the others to tenths.
Multiply both the numerator and denominator by the same number. For to tenths: multiply by 2 to get . This keeps the fraction's value the same!
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