3/5 divided by 6
Understand the Problem
The question is asking to perform a division operation involving a fraction and a whole number. We will divide the fraction 3/5 by 6, which involves converting the whole number into a fraction and then applying the division of fractions.
Answer
\frac{1}{10}
Answer for screen readers
The final answer is \frac{1}{10}
Steps to Solve
- Convert whole number to a fraction To divide by a whole number, first convert the whole number to a fraction. In this case, convert 6 to $\frac{6}{1}$ 2. Apply the division of fractions rule When dividing by a fraction, multiply by its reciprocal. The reciprocal of $\frac{6}{1}$ is $\frac{1}{6}$. So, we need to multiply $\frac{3}{5}$ by $\frac{1}{6}$ $$ \frac{3}{5} \div 6 = \frac{3}{5} \times \frac{1}{6} $$ 3. Multiply the fractions Multiply the numerators and the denominators $$ \frac{3 \times 1}{5 \times 6} = \frac{3}{30} $$ 4. Simplify the fraction Simplify $\frac{3}{30}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 $$ \frac{3 \div 3}{30 \div 3} = \frac{1}{10} $$
The final answer is \frac{1}{10}
More Information
Dividing by a whole number is effectively the same as multiplying by the reciprocal.
Tips
A common mistake is to multiply by the whole number instead of its reciprocal.
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