Question

1. Consider the numbers 3/10 and 4/13 . a. Compare the numbers. b. Find a rational number between the two given numbers.

Answer 1

You can compare by making denominators same of both the fractions..

Answer 2

\[\frac {3}{10} and \frac {4}{13}\]
\[\huge \rightarrow \frac { 3 \times 13}{10 \times 13} , \frac { 4 \times 10}{13 \times 10}\]
\[\huge \rightarrow \frac {39}{130} , \frac {40}{130}\]
\[\huge \rightarrow \frac {39}{130} < \frac {40}{130} \rightarrow \frac {3}{10} < \frac {4}{13}\]

Answer 3

@jessicalove45

Answer 4

to find a number in between you could multiply 39/130 by 2/2
and 40/130 by 2/2 to get
78/260 and 80/260

now it is easy to pick a fraction between those two.