Questions: Similarly, find the quotient of 1/35 ÷ 3/5.

Transcript text: Similarly, find the quotient of $\frac{1}{35} \div \frac{3}{5}$. \[ \frac{1}{35} \div \frac{3}{5}=\square \]

Solution

Solution Steps

To find the quotient of $\frac{1}{35} \div \frac{3}{5}$, we can use the property of division of fractions, which states that dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we need to multiply $\frac{1}{35}$ by the reciprocal of $\frac{3}{5}$, which is $\frac{5}{3}$.

Step 1: Identify the Problem

We need to find the quotient of $\frac{1}{35} \div \frac{3}{5}$.

Step 2: Use the Reciprocal Property

To divide by a fraction, multiply by its reciprocal. The reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.

Step 3: Perform the Multiplication

Multiply $\frac{1}{35}$ by $\frac{5}{3}$: \[ \frac{1}{35} \times \frac{5}{3} = \frac{1 \times 5}{35 \times 3} = \frac{5}{105} \]

Step 4: Simplify the Fraction

Simplify $\frac{5}{105}$: \[ \frac{5}{105} = \frac{1}{21} \]