Question
To divide two fractions with common denominators, divide the first numerator by the second numerator, ignoring the denominators. Rewrite this division problem as the division of two integers.
Answers
GPT-4o mini
To divide two fractions with common denominators, you can follow this process:
Let’s say we have two fractions \(\frac{a}{c}\) and \(\frac{b}{c}\), where the denominators are the same (c).
To divide these fractions, you can set it up like this:
\[
\frac{a}{c} \div \frac{b}{c}
\]
Since the denominators are the same, they cancel each other out, and you are left with:
\[
\frac{a}{c} \div \frac{b}{c} = \frac{a}{b}
\]
This can be rewritten as the division of two integers:
\[
\frac{a}{b} = a \div b
\]
So, to summarize:
1. Ignore the denominators (which are the same) and simply divide the numerators \(a\) and \(b\).
2. The division problem can be expressed as \(a \div b\).
Let’s say we have two fractions \(\frac{a}{c}\) and \(\frac{b}{c}\), where the denominators are the same (c).
To divide these fractions, you can set it up like this:
\[
\frac{a}{c} \div \frac{b}{c}
\]
Since the denominators are the same, they cancel each other out, and you are left with:
\[
\frac{a}{c} \div \frac{b}{c} = \frac{a}{b}
\]
This can be rewritten as the division of two integers:
\[
\frac{a}{b} = a \div b
\]
So, to summarize:
1. Ignore the denominators (which are the same) and simply divide the numerators \(a\) and \(b\).
2. The division problem can be expressed as \(a \div b\).