Question
1. How do you find the new fraction with a common denominator?
2.What is the next step?
A. solve by adding
B.solve by multiplying
2.What is the next step?
A. solve by adding
B.solve by multiplying
Answers
GPT-4o mini
To find a new fraction with a common denominator, follow these steps:
1. **Identify the Denominators**: Look at the fractions you want to add or subtract and note their denominators.
2. **Find the Least Common Denominator (LCD)**: Determine the least common multiple (LCM) of the denominators. This will be your new common denominator.
3. **Adjust the Fractions**: Convert each fraction to an equivalent fraction with the common denominator:
- For each fraction, divide the LCD by the original denominator to find a multiplier.
- Multiply both the numerator and denominator of the original fraction by this multiplier.
4. **Rewrite the Fractions**: Rewrite each fraction using the new numerator and the common denominator.
Now for the second question:
Assuming you have adjusted the fractions and are ready to proceed, the next step depends on what you're aiming to do:
A. **Solve by Adding**: If your intention is to add the two fractions (now that they have a common denominator), you would combine the numerators and keep the common denominator.
B. **Solve by Multiplying**: If you are looking to multiply the fractions instead (which does not require a common denominator), you'd multiply the numerators together and the denominators together directly.
So, the next step could either be A (if you are adding) or B (if you are multiplying), depending on your specific goal.
1. **Identify the Denominators**: Look at the fractions you want to add or subtract and note their denominators.
2. **Find the Least Common Denominator (LCD)**: Determine the least common multiple (LCM) of the denominators. This will be your new common denominator.
3. **Adjust the Fractions**: Convert each fraction to an equivalent fraction with the common denominator:
- For each fraction, divide the LCD by the original denominator to find a multiplier.
- Multiply both the numerator and denominator of the original fraction by this multiplier.
4. **Rewrite the Fractions**: Rewrite each fraction using the new numerator and the common denominator.
Now for the second question:
Assuming you have adjusted the fractions and are ready to proceed, the next step depends on what you're aiming to do:
A. **Solve by Adding**: If your intention is to add the two fractions (now that they have a common denominator), you would combine the numerators and keep the common denominator.
B. **Solve by Multiplying**: If you are looking to multiply the fractions instead (which does not require a common denominator), you'd multiply the numerators together and the denominators together directly.
So, the next step could either be A (if you are adding) or B (if you are multiplying), depending on your specific goal.