What is the quotient when u divide-10/11 by -2/5
To divide -10/11 by -2/5, you multiply the dividend (-10/11) by the reciprocal of the divisor (-5/2):
(-10/11) ÷ (-2/5) = (-10/11) × (5/(-2))
Multiplying the numerators gives -50, and multiplying the denominators gives -22:
= -50/(-22)
The quotient is 50/22, which can be simplified by dividing both the numerator and denominator by their greatest common divisor (2):
= 25/11
To divide fractions, we use the following rule: dividing one fraction by another is the same as multiplying the first fraction by the reciprocal of the second fraction. Let's now find the quotient:
1. Start with the division: -10/11 ÷ -2/5
2. Find the reciprocal of the second fraction: -2/5 becomes 5/(-2)
3. Multiply the first fraction by the reciprocal: -10/11 * 5/(-2)
4. Simplify the resulting fraction: (-10 * 5) / (11 * -2)
5. Calculate the numerator: -50
6. Calculate the denominator: -22
7. Write the fraction in simplest form: -50/-22. Both the numerator and denominator have a common factor of -2, so divide them by it to get 25/11.
Therefore, the quotient is 25/11.