# Which rational numbers fall between 2.7 and 2.8 on a number line: 2 19/25, 277/100, 21/8, 2 5/6?

Oct 19, 2016

$2 \frac{19}{25} \mathmr{and} \frac{277}{100}$ fall between 2.7 and 2.8

#### Explanation:

$\frac{19}{25}$ as a decimal number is 0.76
$\frac{19}{25}$x$\frac{4}{4}$=$\frac{76}{100}$=0.76
So $2 \frac{19}{25} = 2.76$ which is between 2.7 and2.8

$\frac{277}{100}$ =2.77 which is between2.7 and 2.8

$\frac{21}{8}$ =$2 \frac{5}{8}$=2.625$< 2.7$

$\frac{5}{6}$= 0.8....(50 divided by 6 is bigger than 8)
So $2 \frac{5}{6} > 2.8$