Solve the following exercise:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Solve the following exercise:
To solve the subtraction , we need a common denominator.
Step 1: Find the least common denominator (LCD) of the two fractions.
The denominators are 6 and 12. The least common multiple of 6 and 12 is 12.
Step 2: Convert to an equivalent fraction with a denominator of 12.
We can multiply the numerator and the denominator by 2 to achieve this:
.
Step 3: Now, subtract the fractions with a common denominator:
.
Step 4: Simplify the result.
can be simplified by dividing both the numerator and the denominator by 3:
.
Therefore, the solution to the problem is .
From the available choices, option 4, which is , is the correct answer.
Solve the following exercise:
\( \frac{3}{2}-\frac{1}{2}=\text{?} \)
Fractions represent parts of a whole. You can't combine parts unless they're the same size! means 5 sixths, while means 7 twelfths - different sized pieces.
List the multiples: 6: 6, 12, 18... and 12: 12, 24, 36... The smallest common multiple is 12. Since 12 is already a multiple of 6, the LCD is 12!
Your answer isn't wrong, just not in simplest form. equals , but teachers usually want the simplified version. Always check if you can divide both parts by the same number.
No! The LCD must be divisible by both original denominators, so it's always at least as large as the bigger denominator. In our case, LCD = 12, which equals the larger denominator.
That's totally normal! If you're subtracting a larger fraction from a smaller one, you'll get a negative result. Just follow the same steps and keep the negative sign in your final answer.
Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime