What is the quote when you divide negative 10 over 11 by negative 2/5
To divide negative 10 over 11 by negative 2/5, we need to remember the rule of dividing fractions:
"Dividing fractions is the same as multiplying by the reciprocal of the second fraction."
So, the division can be rewritten as:
(-10/11) / (-2/5) = (-10/11) * (5/-2)
Simplifying further:
(-10/11) * (5/-2) = (-10 * 5) / (11 * -2)
= -50 / -22
The simplified fraction is 50/22, which can be further simplified, if needed.
To divide a fraction by another fraction, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
In this case, you want to divide negative 10/11 by negative 2/5.
Step 1: Take the reciprocal of the second fraction:
The reciprocal of -2/5 is -5/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction:
(-10/11) * (-5/2) = (10/11) * (5/2)
Step 3: Multiply the numerators and the denominators of the fractions:
(10 * 5) / (11 * 2) = 50/22
Step 4: Simplify the fraction, if possible:
To simplify 50/22, you can divide both the numerator and the denominator by their greatest common divisor, which is 2.
(50/2) / (22/2) = 25/11
Therefore, when you divide -10/11 by -2/5, the result is 25/11.
To find the result of dividing -10/11 by -2/5, we can follow a few steps:
Step 1: Divide the numerators.
To divide -10/11 by -2/5, divide the numerator of the first fraction (-10) by the numerator of the second fraction (-2). Thus, -10 ÷ -2 = 5.
Step 2: Divide the denominators.
To divide -10/11 by -2/5, divide the denominator of the first fraction (11) by the denominator of the second fraction (5). Therefore, 11 ÷ 5 = 2.2.
Step 3: Divide the results.
Now, divide the result from step 1 (-10 ÷ -2 = 5) by the result from step 2 (11 ÷ 5 = 2.2). Hence, 5 ÷ 2.2 = 2.272727... (repeating).
Therefore, the result of dividing -10/11 by -2/5 is approximately 2.272727... (repeating).