Solve: 3 × 6/7 - Multiplying a Whole Number by a Fraction

Converting 3 to $\frac{3}{1}$ makes multiplication easier! It helps you see clearly that you multiply numerator × numerator and denominator × denominator.

Yes! That's actually a shortcut. $3 \times \frac{6}{7}$ means 3 times 6, over 7, which gives $\frac{18}{7}$.

Divide the numerator by the denominator:

• $\frac{18}{7}$: 18 ÷ 7 = 2 remainder 4
• The quotient becomes the whole number: 2
• The remainder becomes the new numerator: $\frac{4}{7}$
• Result: $2\frac{4}{7}$

If your numerator is smaller than your denominator, you're done! No need to convert to a mixed number. Just make sure your fraction is in simplest form.

Convert back to improper fraction: $2\frac{4}{7} = \frac{(2 \times 7) + 4}{7} = \frac{18}{7}$. If this matches your calculation, you're right!