Question

Are the following expressions true:

(a) $\frac{7}{13}<\frac{3}{8}$

(b) The rational number $\frac{-18}{-13}$ lies to the left of 0 on the number line.

[2 MARKS]

Answer 1

Each part: 1 Mark

(a) Converting both numbers with common denominator: $\frac{7\times 8}{13\times 8}and\frac{3\times 13}{8\times 13}$

The numbers are $\frac{56}{104}$ and $\frac{39}{104}$.

Hence, the expression is false.

(b) $\frac{-18}{-13}=\frac{18}{13}$, which is a positive number. Therefore the number lies to the right of 0 on the number line.

Hence the given statement was not true.