Question
4/5 divided by 1/3 minus 1/5
1 and 1/5
2 and 1/5
11 and 5/5
3/15
1 and 1/5
2 and 1/5
11 and 5/5
3/15
Answers
GPT-4o mini
To solve the expression \( \frac{4}{5} \div \frac{1}{3} - \frac{1}{5} \), we can follow these steps:
1. **Division of Fractions**: When you divide fractions, you multiply by the reciprocal of the second fraction.
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1} = \frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
2. **Subtraction of Fractions**: Now we need to subtract \( \frac{1}{5} \) from \( \frac{12}{5} \). Since both fractions have the same denominator, we can directly subtract the numerators.
\[
\frac{12}{5} - \frac{1}{5} = \frac{12 - 1}{5} = \frac{11}{5}
\]
Thus, the final answer is:
\[
\frac{11}{5}
\]
This is equivalent to:
\[
2 \frac{1}{5} \text{ or } 2.2
\]
Among the options provided, the answer is:
**2 and 1/5**.
1. **Division of Fractions**: When you divide fractions, you multiply by the reciprocal of the second fraction.
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1} = \frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
2. **Subtraction of Fractions**: Now we need to subtract \( \frac{1}{5} \) from \( \frac{12}{5} \). Since both fractions have the same denominator, we can directly subtract the numerators.
\[
\frac{12}{5} - \frac{1}{5} = \frac{12 - 1}{5} = \frac{11}{5}
\]
Thus, the final answer is:
\[
\frac{11}{5}
\]
This is equivalent to:
\[
2 \frac{1}{5} \text{ or } 2.2
\]
Among the options provided, the answer is:
**2 and 1/5**.