Solve the Fraction Equation: Finding the Value in 2/4 × ? = 2/7

Think of it like this: if 2 × ? = 10, you divide 10 ÷ 2 = 5 to find the missing factor. The same rule applies to fractions: $? = \frac{2/7}{2/4}$

Remember: dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{2/7}{2/4} = \frac{2}{7} \times \frac{4}{2}$

Yes! Simplifying first often makes the problem easier: $\frac{1}{2} \times ? = \frac{2}{7}$, so $? = \frac{2}{7} \div \frac{1}{2} = \frac{2}{7} \times \frac{2}{1} = \frac{4}{7}$

Double-check your division setup and reciprocal step. The most common error is forgetting to flip the second fraction when dividing. Always verify by multiplying your answer back with the known fraction.

Yes! When you see $\frac{a}{b} \times ? = \frac{c}{d}$, you can directly write $? = \frac{c}{d} \times \frac{b}{a}$. Just multiply by the reciprocal of the known fraction!