Question

To compare scores of Ted and his sister, we express them in fractions. In order to make the expressions comparable, the __.

of the fraction must be the same.

Answer 1

Two fractions can be compared only if their denominators are equal.

For example, to compare $\frac{1}{2}$ and $\frac{2}{3}$, we must make their denominator common.

Thus, we take the least common multiple of the denominators in the fractions

Here, the LCM of 2 and 3 is 6

Thus, \frac{1}{2} = \frac{3}{6}\) and $\frac{2}{3}=\frac{4}{6}$

Now, we can say that $\frac{3}{6}<\frac{4}{6}$ since the denominators are same

To compare scores of Ted and his sister, we express them in fractions. Then, we convert the fractions into their equivalent form such that their denominators are the same. Usually, the common denominator is 100 and such an expression is known as fraction