Divide decimals and fractions quick check
What is the quotient when you divide -10/11÷-2/5
To divide fractions, you need to multiply by the reciprocal of the second fraction.
So, -10/11 divided by -2/5 is equal to (-10/11) * (5/-2).
When you multiply the fractions, you multiply the numerators (-10 * 5) and the denominators (11 * -2).
The result is (-50)/(-22), which simplifies to 25/11.
Therefore, the quotient is 25/11.
To divide fractions, you need to follow these steps:
Step 1: Multiply the dividend (the first fraction) by the reciprocal of the divisor (the second fraction). In this case, the reciprocal of -2/5 is -5/2.
Step 2: Change the division operation to multiplication. So the problem becomes (-10/11) * (-5/2).
Step 3: Multiply the numerators (top numbers) together: -10 * -5 = 50.
Step 4: Multiply the denominators (bottom numbers) together: 11 * 2 = 22.
Step 5: Write the final result as a fraction: 50/22.
Step 6: Simplify the fraction if possible. In this case, the fraction can be simplified by dividing the numerator and denominator by their greatest common factor, which is 2. So the final simplified fraction is 25/11.
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.