To divide \( \frac{13}{20} \) by \( \frac{1}{3} \), you can multiply \( \frac{13}{20} \) by the reciprocal of \( \frac{1}{3} \).
The reciprocal of \( \frac{1}{3} \) is \( \frac{3}{1} \).
So the operation becomes:
\[ \frac{13}{20} \div \frac{1}{3} = \frac{13}{20} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ \frac{13 \times 3}{20 \times 1} = \frac{39}{20} \]
Thus, \( \frac{13}{20} \div \frac{1}{3} = \frac{39}{20} \).
If you want to convert it to a mixed number, \( \frac{39}{20} \) can be expressed as \( 1 \frac{19}{20} \).
So, the final answer is:
\[ \frac{39}{20} \quad \text{or} \quad 1 \frac{19}{20} \]
7 answers