Ratio Problems Solving

To use the ratio for solving problem, you must convert it to mathematical form, three out of seven, and four out of seven. 3 : 4 → $\genfrac{}{}{1px}{}{3}{7}$ and $\genfrac{}{}{1px}{}{4}{7}$

Multiple Ratios

The ratio between A and B is 2 : 7 and the ratio between B to C is 2 : 3. Find the ratio A : B : C.

Compare Logically

A ratio is the comparison of two things.

What is the ratio of the value of a kilometer to that of a mile? This can be shown fractionally $\genfrac{}{}{1px}{}{5}{8}$ or by using a colon (5:8). You can put any two things in a fraction numerically. It’s logical to use only comparable things. What is the ratio of 8 inches to 1 yard? You answer $\genfrac{}{}{1px}{}{8}{1}$ , but does it make sense? Is 8 inches 8 times as large as 1 yard? Of course not! Common sense will make you change 1 yard to 36 inches. Now the ratio becomes $\genfrac{}{}{1px}{}{8}{\mathrm{36}}$ or $\genfrac{}{}{1px}{}{2}{9}$. Compare only like things.