What is the quotient when you divide −10/11 by −2/5 simplifyed
To simplify, we can multiply the numerator and denominator of -10/11 by -5/2:
(-10/11) / (-2/5) = (-10/11) * (-5/2)
= (10/11) * (5/2)
= 50/22
To further simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
50/22 = (50/2) / (22/2)
= 25/11
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.
What is the quotient when you divide −3/4 by 3/8?
To divide -3/4 by 3/8, we can multiply the numerator by the reciprocal of the denominator:
(-3/4) ÷ (3/8) = (-3/4) * (8/3)
= -3 * 8 / 4 * 3
= -24/12
To simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 12:
-24/12 = (-24/12) ÷ (12/12)
= -2/1
Therefore, the quotient when you divide -3/4 by 3/8 is -2.
What is the quotient when you divide −2 3/5 by 4/5?
To divide -2 3/5 by 4/5, we need to convert the mixed number -2 3/5 to an improper fraction first.
-2 3/5 = -(2 + 3/5) = -2 - 3/5 = -10/5 - 3/5 = -13/5
Now, we can proceed with the division:
(-13/5) ÷ (4/5) = (-13/5) * (5/4)
= -13 * 5 / 5 * 4
= -65/20
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
-65/20 = (-65/5) ÷ (20/5)
= -13/4
Therefore, the quotient when you divide -2 3/5 by 4/5 is -13/4.
To divide fractions, we can 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.
Reciprocal of -2/5 becomes -5/2.
So, when we divide -10/11 by -2/5, we can multiply -10/11 by -5/2.
(-10/11) * (-5/2)
= (-10 * -5) / (11 * 2) (multiply the numerators and denominators)
= 50 / 22 (simplify the multiplication)
To simplify this fraction further, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
50 ÷ 2 = 25
22 ÷ 2 = 11
Therefore, the quotient of -10/11 divided by -2/5 simplified is 25/11.
To divide fractions, we follow these steps:
Step 1: Flip the second fraction (the divisor) upside down. In this case, we need to flip the fraction -2/5 to become -5/2.
Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction. Multiply -10/11 by -5/2.
To simplify the answer:
-10/11 * -5/2 = 50/22
Now, let's simplify the fraction 50/22:
Step 3: Find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 50 and 22 is 2.
Step 4: Divide both the numerator and denominator by the GCD. 50 ÷ 2 = 25, and 22 ÷ 2 = 11.
So, the quotient obtained by dividing -10/11 by -2/5 (simplified) is 25/11.