What is the quotient of −5/8÷−2/3?
To solve this problem, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.
The reciprocal of -2/3 is -3/2.
Therefore, -5/8 ÷ -2/3 is equal to -5/8 * -3/2.
When multiplying fractions, we multiply the numerators and denominators separately.
(-5 * -3) / (8 * 2) = 15/16.
So, the quotient of -5/8 ÷ -2/3 is 15/16.
To find the quotient of -5/8 ÷ -2/3, you can follow these steps:
Step 1: Multiply the dividend (-5/8) by the reciprocal of the divisor (-2/3). The reciprocal of -2/3 is -3/2, so the multiplication becomes:
-5/8 × -3/2
Step 2: Multiply the numerators together and the denominators together:
(-5 × -3) / (8 × 2)
Step 3: Simplify the expression:
15/16
Therefore, the quotient of -5/8 ÷ -2/3 is 15/16.