We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve the problem of adding and , follow these steps:
Step 1: Identify the denominators of the given fractions, which are and .
Step 2: Find the common denominator by multiplying the denominators: .
Step 3: Adjust each fraction to have the common denominator:
Convert to .
Convert to .
Step 4: Add the adjusted fractions:
.
Step 5: Simplify the final expression. In this case, is already in simplest form.
The solution to the problem is , which corresponds with choice 1 in the provided answer choices.
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
Because fractions represent parts of different wholes! means 4 parts out of 15, while means 1 part out of 2. You need to make the "wholes" the same size first.
The easiest way is to multiply the denominators together: 15 × 2 = 30. This always works! For more advanced problems, you can find the least common multiple to get smaller numbers.
Yes, always! When converting to thirtieths, multiply both: . This keeps the fraction's value the same.
Check if the numerator and denominator share any common factors. Since 23 is prime and doesn't divide 30, is already in simplest form!
Any common denominator works! You could use 30, 60, 90, etc. But using the smallest one (like 30) makes the arithmetic easier and gives you the simplest form faster.
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