What is the quotient when you divide -2 3/5 by 4/5?
-3 1/4
-2 3/4
-25/52
4/13
To divide -2 3/5 by 4/5, we can first convert -2 3/5 to an improper fraction:
-2 3/5 = (-2 * 5 + 3)/5 = (-10 + 3)/5 = -7/5
Now we can divide -7/5 by 4/5:
(-7/5) / (4/5) = (-7/5) * (5/4) = -7/4 = -1 3/4
Therefore, the quotient is -1 3/4.
To divide -2 3/5 by 4/5, follow these steps:
Step 1: Convert the mixed number -2 3/5 to an improper fraction. To do this, multiply the whole number (-2) by the denominator (5) and add the numerator (3), then put the result over the denominator:
-2 3/5 = (-2 * 5 + 3) / 5 = (-10 + 3) / 5 = -13/5
Step 2: Now, divide -13/5 by 4/5. To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
-13/5 ÷ 4/5 = -13/5 * 5/4 = (-13 * 5) / (5 * 4) = -65/20
Step 3: Simplify the fraction -65/20 if possible. Both the numerator and denominator have a common factor of 5, so divide both by 5:
-65/20 = (-65 ÷ 5) / (20 ÷ 5) = -13/4
So, the quotient when you divide -2 3/5 by 4/5 is -13/4.
To find the quotient when you divide -2 3/5 by 4/5, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-2 3/5 can be converted to an improper fraction by multiplying the whole number (-2) by the denominator (5) and adding the numerator (3). This gives -13/5.
Step 2: Divide the numerator of the dividend (-13/5) by the numerator of the divisor (4/5), and multiply by the reciprocal of the divisor (5/4). This can be written as:
(-13/5) ÷ (4/5) = (-13/5) × (5/4).
Step 3: Simplify the expression by canceling out common factors in the numerator and the denominator.
In this case, the common factor is 5. Canceling it out gives:
(-13/1) × (1/4).
Step 4: Multiply the numerators together and the denominators together.
(-13/1) × (1/4) = (-13 × 1) / (1 × 4) = -13/4.
So, the quotient when you divide -2 3/5 by 4/5 is -13/4.
However, none of the answer choices provided match this result.