4/5÷1/3

3 answers

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.

are you sure

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.