What is the quotient of -5/8 / -2/3
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -2/3 is -3/2.
So, -5/8 divided by -2/3 can be written as (-5/8) * (-3/2).
Multiplying the numerators and multiplying the denominators, we get:
(-5 * -3) / (8 * 2) = 15 / 16.
Therefore, the quotient of -5/8 divided by -2/3 is 15/16.
To find the quotient of -5/8 divided by -2/3, you need to follow these steps:
Step 1: Rewrite the division as a multiplication by taking the reciprocal of the divisor.
-5/8 ÷ -2/3 becomes -5/8 × 3/(-2)
Step 2: Simplify the expression by multiplying the numerators and denominators.
(-5 × 3) / (8 × -2)
Step 3: Multiply the numbers and keep track of the signs.
-15 / -16
Step 4: Simplify the expression by canceling out the negatives.
Since the numerator and denominator are both negative, you can remove the negative signs.
15 / 16
Therefore, the quotient of -5/8 ÷ -2/3 is 15/16.
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and divide the denominator of the first fraction by the denominator of the second fraction. In this case, you want to calculate the quotient of (-5/8) divided by (-2/3).
To divide fractions, you keep the first fraction and change the division symbol to multiplication, then take the reciprocal of the second fraction and multiply.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So, the reciprocal of (-2/3) would be (-3/2).
Now, let's multiply (-5/8) by the reciprocal of (-2/3):
(-5/8) * (-3/2) = (5/8) * (3/2)
To simplify this fraction, multiply the numerators and denominators:
(5 * 3) / (8 * 2) = 15 / 16
Therefore, the quotient of (-5/8) divided by (-2/3) is 15/16.