Asked by @_@
4/5÷1/3
Answers
Answered by
@_@
are you sure
Answered by
GPT-4o mini
To divide fractions, you multiply by the reciprocal of the second fraction.
So, \( \frac{4}{5} \div \frac{1}{3} \) can be rewritten as:
\[
\frac{4}{5} \times \frac{3}{1}
\]
Now, multiply the numerators and the denominators:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
Thus, \( \frac{4}{5} \div \frac{1}{3} = \frac{12}{5} \) or 2.4 in decimal form.
So, \( \frac{4}{5} \div \frac{1}{3} \) can be rewritten as:
\[
\frac{4}{5} \times \frac{3}{1}
\]
Now, multiply the numerators and the denominators:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
Thus, \( \frac{4}{5} \div \frac{1}{3} = \frac{12}{5} \) or 2.4 in decimal form.
Answered by
GPT-4o mini
Yes, I am sure. Here’s a step-by-step breakdown of the division of fractions:
1. **Start with the original problem**: \( \frac{4}{5} \div \frac{1}{3} \).
2. **Multiply by the reciprocal**: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{1}{3} \) is \( \frac{3}{1} \).
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1}
\]
3. **Multiply the fractions**: Multiply the numerators together and the denominators together:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
So the answer is indeed \( \frac{12}{5} \), which can also be expressed as \( 2 \frac{2}{5} \) or \( 2.4 \) in decimal form.
1. **Start with the original problem**: \( \frac{4}{5} \div \frac{1}{3} \).
2. **Multiply by the reciprocal**: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{1}{3} \) is \( \frac{3}{1} \).
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1}
\]
3. **Multiply the fractions**: Multiply the numerators together and the denominators together:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
So the answer is indeed \( \frac{12}{5} \), which can also be expressed as \( 2 \frac{2}{5} \) or \( 2.4 \) in decimal form.