Answer: The correct answer is [tex]\frac{21}{25}[/tex]
Step-by-step explanation:
To find a quotient, we need to divide the two numbers. The equation given to us is :
[tex]\frac{-6}{10}\div \frac{-5}{7}[/tex]
To Simplify the above equation and finding out the quotient, we need to divide the above equation, we get:
[tex]\Rightarrow \left(\frac{\frac{-6}{10}}{\frac{-5}{7}}\right)[/tex]
Taking the reciprocal of the denominator and multiplying it with the numerator, we get:
[tex]\Rightarrow \frac{-6}{10}\times \frac{7}{-5}\\\\\Rightarrow \frac{42}{50}\\\\\Rightarrow \frac{21}{25}[/tex]
Hence, the correct answer is [tex]\frac{21}{25}[/tex]
