Solve the following exercise:
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Solve the following exercise:
To solve this problem, we'll follow these steps:
Now, let's work through these steps:
Step 1: The denominators are and . The common denominator is the product .
Step 2: Convert each fraction:
Step 3: Subtract the fractions with a common denominator:
Finally, simplify . The greatest common divisor of 2 and 12 is 2, so:
Therefore, the solution to the problem is .
Solve the following:
\( \frac{5}{9}:\frac{7}{18}= \)
Fractions represent parts of a whole, not separate numbers! You can only subtract fractions when they have the same denominator (same-sized pieces). Think of it like subtracting pizza slice from pizza slice - you need same-sized slices first!
For small numbers like 4 and 3, multiply them together: 4 × 3 = 12. For larger numbers, find the Least Common Multiple (LCM) to avoid extra simplification work later.
Yes! Always check if your answer can be reduced. Divide both numerator and denominator by their Greatest Common Divisor (GCD). For , both divide by 2 to get .
That's fine! You still need to convert both fractions to have the common denominator. Even though looks simple, it becomes when converted.
You could simplify first, but then you'd need LCD of 2 and 3, which is 6. Either way works - choose whichever feels easier to you!
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