Question

If 1 2/3÷2/7×x/7= 1 1/4×2/3÷1/6 then the value of x is

Answer 1

Answer:

$(1 \frac{2}{3} \div \frac{2}{7} \times \frac{x}{7}) = (1 \frac{1}{4} \times \frac{2}{3} \div \frac{1}{6} ) \\ ( \frac{5}{3} \div \frac{2}{7} ) \times \frac{x}{7} = \frac{5}{4} \times ( \frac{2}{3} \div \frac{1}{6} ) \\ \frac{5}{3} \times \frac{ \cancel7}{2} \times \frac{x}{ \cancel7} = \frac{5}{4} \times \frac{2}{3} \times 6 \\ \frac{5x}{6} = \frac{10}{2} \\ \frac{5x}{6} = 5 \\ 5x = 5 \times 6 \\ 5x = 30 \\ x = \frac{30}{5} \\ \large{ \boxed{x = \underline{ \underline{6}}}}$