What is the quotient when you divide -10/11 by -2/5
-2 3/11
2 3/11
4/11
2 3/4
To divide fractions, we invert the divisor (the second fraction) and multiply it by the dividend (the first fraction).
Therefore, -10/11 ÷ -2/5 is the same as -10/11 × -5/2.
Simplifying the multiplication, we get:
(-10 × -5) / (11 × 2) = 50/22
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.
(50 ÷ 2) / (22 ÷ 2) = 25/11
So the quotient when you divide -10/11 by -2/5 is 25/11.
In mixed number form, this can be written as:
2 3/11
To divide fractions, you need to follow these steps:
Step 1: Invert the divisor and change the division sign to multiplication.
So, -10/11 divided by -2/5 becomes -10/11 multiplied by -5/2.
Step 2: Multiply the numerators (top numbers) together to get the new numerator and multiply the denominators (bottom numbers) together to get the new denominator.
(-10 * -5) / (11 * 2) = 50/22.
Step 3: Simplify the fraction, if possible.
The fraction 50/22 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
(50 ÷ 2) / (22 ÷ 2) = 25/11.
So, the quotient when you divide -10/11 by -2/5 is 25/11.