Question

Write six rational numbers between-2/5 and -1/3​

Answer 1

Step-by-step explanation:

Six rational numbers between

$\frac{ - 2}{5} and \frac{ - 1}{3 } \: are \: as \: follows.$

Step 1: Equate the denominators of the given extremes:

$\frac{ - 2}{5} \times \frac{3}{3} \: and \: \frac{ - 1}{3} \times \frac{5}{5}$

$\frac{ - 6}{15} \: and \: \frac{ - 5}{15}$

Step 2: Multiply and divide the simplified extremes by 7 ( Required no is 6 )

$\frac{ - 6}{15} \times \frac{7}{7} \: and \: \frac{ - 5}{15} \times \frac{7}{7}$

$\frac{ - 42}{105} \: and \: \: \frac{ - 35}{105}$

Six rational number are :

$\frac{ - 41}{105} \: \frac{ - 40}{105} \: \: \frac{ - 39}{105 } \: \frac{ - 38}{105} \: \: \frac{ - 37}{105} \: \: \frac{ - 36}{105}$