Question

List four rational numbers between-3/7 and -2/5

Answer 1

Answer:

Four rational numbers between $\frac{-3}{7}$ and $\frac{-2}{5}$ are $\frac{-141}{350}, \frac{-142}{350} ,\frac{-143}{350} ,\frac{-144}{350}$ .

Step-by-step explanation:

To find : four rational numbers between $\frac{-3}{7}$ and $\frac{-2}{5}$  

Solution:

• According question we have to find rational numbers between $\frac{-3}{7}$ and $\frac{-2}{5}$  for this we need to equalize denominators of the rational numbers by taking LCM.
• Therefore, LCM = $35$
• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .
• We get, $\frac{-3}{7}=\frac{-3 \times 5}{7\times5}=\frac{-15}{35} and \frac{-2}{5}=\frac{-2 \times 7}{5\times 7}=\frac{-14}{35}$
• Now , converting above obtained fractions into multiple of $10$ .
• $\frac{-15}{35} = \frac{-15\times10}{35\times10} = \frac{-150}{350}$
• $\frac{-14}{35}= \frac{-14\times10}{35\times10}= \frac{-140}{350}$
• Now , we can find rational numbers between $\frac{-150}{350}$ and $\frac{-140}{350}$
• They are  : $\frac{-141}{350}, \frac{-142}{350} ,\frac{-143}{350} ,\frac{-144}{350}$