Question

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Explanation:

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Step1: Recall reciprocal method

To find the reciprocal of a fraction, invert (flip) the fraction. For $\frac{2}{7}$, flipping gives $\frac{7}{2}$.

Step2: Verify by multiplication

Multiply $\frac{2}{7}$ and $\frac{7}{2}$: $\frac{2}{7} \times \frac{7}{2} = \frac{14}{14} = 1$, which confirms it's the reciprocal.

Step1: Use reciprocal for division

Dividing by a fraction is multiplying by its reciprocal. The reciprocal of $\frac{1}{6}$ is $6$. So $1 \div \frac{1}{6} = 1 \times 6$.

Step2: Calculate the product

$1 \times 6 = 6$.

Step3: Verify by multiplication

Check with multiplication: $6 \times \frac{1}{6} = \frac{6}{6} = 1$, which matches.

Answer:

$\frac{7}{2}$

CHECKPOINT - Divide $1 \div \frac{1}{6}$