JAMB 1985 · UME · Q1

Arrange the numbers $\frac67$ , $\frac{13}{15}$ , 0.865 in ascending order of magnitude.

Worked solution (try it first)

Change the fractions to decimals, to 4 places: $\frac67 = 0.8571$ and $\frac{13}{15} = 0.8667$ .
Write 0.865 as 0.8650 and compare digit by digit: $0.8571 < 0.8650 < 0.8667$ .
So $\frac67 < 0.865 < \frac{13}{15}$ , option A.