What is the quotient when you divide -2 3/4 by 4/5?
To divide -2 3/4 by 4/5, we need to convert the mixed number -2 3/4 into an improper fraction.
To convert the mixed number -2 3/4 into an improper fraction, we can multiply the whole number (2) by the denominator (4) and add the numerator (3). So, we have:
-2 3/4 = (-2 x 4 + 3)/4 = (-8 + 3)/4 = -5/4
Now, we can divide -5/4 by 4/5. When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. So:
(-5/4) ÷ (4/5) = (-5/4) x (5/4)
Multiplying the numerators and denominators, we get:
(-5/4) x (5/4) = -25/16
Therefore, the quotient is -25/16.
To divide -2 3/4 by 4/5, follow these steps:
Step 1: Convert the mixed number -2 3/4 to an improper fraction.
-2 3/4 = -(2 * 4 + 3) / 4 = -11/4
Step 2: Write the division problem as a multiplication problem by taking the reciprocal of the divisor.
-11/4 ÷ 4/5 = -11/4 * 5/4
Step 3: Multiply the numerators together and the denominators together.
(-11 * 5) / (4 * 4) = -55 / 16
Therefore, the quotient is -55/16.
To find the quotient when dividing -2 3/4 by 4/5, we can follow these steps:
Step 1: Convert the mixed number -2 3/4 to an improper fraction.
To convert -2 3/4 to an improper fraction, we multiply the whole number (-2) by the denominator (4), and then add the numerator (3). This gives us (-2 * 4) + 3 = -8 + 3 = -5. So, -2 3/4 as an improper fraction is -5/4.
Step 2: Divide the numerator (-5) by the denominator (4/5).
When dividing fractions, we need to multiply by the reciprocal of the second fraction. Therefore, we multiply -5/4 by the reciprocal of 4/5, which is 5/4.
-5/4 * 5/4 = (-5 * 5) / (4 * 4) = -25/16
So, the quotient when you divide -2 3/4 by 4/5 is -25/16.