Asked by Brianna sapp
Which operation with fractions performs the operation with the numerators AND the denominators?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The operation with fractions that performs the operation with both the numerators and the denominators is **addition** and **subtraction**.
When you add or subtract fractions, you generally need a common denominator. Once the fractions have a common denominator, you combine the numerators and keep the common denominator.
For example, to add the fractions \( \frac{a}{b} + \frac{c}{d} \), you would find a common denominator (often \( bd \)), and rewrite the fractions as:
\[
\frac{a}{b} + \frac{c}{d} = \frac{ad}{bd} + \frac{bc}{bd} = \frac{ad + bc}{bd}
\]
Here, you add the numerators \( (ad + bc) \) and keep the common denominator \( (bd) \).
Similarly, for subtraction:
\[
\frac{a}{b} - \frac{c}{d} = \frac{ad}{bd} - \frac{bc}{bd} = \frac{ad - bc}{bd}
\]
In both cases, the operations are performed on the numerators while also maintaining the denominator.
When you add or subtract fractions, you generally need a common denominator. Once the fractions have a common denominator, you combine the numerators and keep the common denominator.
For example, to add the fractions \( \frac{a}{b} + \frac{c}{d} \), you would find a common denominator (often \( bd \)), and rewrite the fractions as:
\[
\frac{a}{b} + \frac{c}{d} = \frac{ad}{bd} + \frac{bc}{bd} = \frac{ad + bc}{bd}
\]
Here, you add the numerators \( (ad + bc) \) and keep the common denominator \( (bd) \).
Similarly, for subtraction:
\[
\frac{a}{b} - \frac{c}{d} = \frac{ad}{bd} - \frac{bc}{bd} = \frac{ad - bc}{bd}
\]
In both cases, the operations are performed on the numerators while also maintaining the denominator.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.