What is the quotient of −59÷15? Write the answer as a mixed number. Show your work.

To find the quotient of −59 ÷ 15, we perform long division:

-3 r -14
______________
15 | -59
-45
_____________
-14

The quotient is -3, and the remainder is -14.

Therefore, the quotient of −59 ÷ 15 is -3 - 14/15 as a mixed number.

To find the quotient of -59 ÷ 15, we divide -59 by 15.

Step 1: Divide the absolute values of the numbers: 59 ÷ 15 = 3 with a remainder of 14.

Step 2: Determine the sign of the quotient. Since one number is negative (-59), the quotient will be negative.

Therefore, the quotient of -59 ÷ 15 is -3 remainder 14.

To write this as a mixed number, we divide the remainder (14) by the divisor (15), and write it as a fraction:

14 ÷ 15 = 0.93 (rounded to two decimal places)

So, the answer as a mixed number is -3 14/15.

To find the quotient of -59÷15 and express it as a mixed number, you need to divide -59 by 15 and represent the result as a whole number and fraction.

To begin, you divide the absolute values of the two numbers: 59 ÷ 15 = 3.9333...

Since the dividend (-59) and the quotient (3) have different signs, the quotient will also have a negative sign.

Now, to express the quotient as a mixed number, you need to find the whole number part and the fractional part.

The whole number part is the whole number obtained from the division, which is 3.

To determine the fractional part, you need to subtract the product of the whole number and the denominator from the numerator:
15 × 3 = 45, and -59 - (-45) = -14.

Therefore, the quotient of -59÷15 expressed as a mixed number is -3 14/15.