Question

What is the quotient of -3/8 and negative 1/3​

Answer 1

The quotient of -3/8 and negative 1/3 is 9/8. To get this result, multiply the first fraction by the reciprocal of the second fraction, and since both fractions are negative, the result is positive.

Step-by-step explanation:

The question asks about the quotient when dividing two negative fractions, specifically -3/8 and negative 1/3. When dividing fractions, the rule is to multiply the first fraction by the reciprocal of the second fraction. Also, when dividing two negative numbers, the result is positive because a negative divided by a negative equals a positive.

To find the reciprocal of negative 1/3, we flip the numerator and denominator to get -3/1, which is -3. Then we keep the first fraction, change division to multiplication, and multiply by the reciprocal of the second fraction:

-3/8 × -3 (which is the reciprocal of negative 1/3)

When we multiply these, the negative signs cancel out and we get 3/8 × 3/1 = 9/8

Therefore, the quotient of -3/8 and negative 1/3 is 9/8, which is a positive number because the negatives cancel each other out as per the multiplication rules for signs.

Answer 2

`(-3)/(8)` ÷
`(-1)/(3)`

When dividing fractions these are the steps you will take:

1. The first number in the expression stays the same

`(-3)/(8)` ÷
`(-1)/(3)`

2. Change the division sign into a multiplication sign

`(-3)/(8)` ×
`(-1)/(3)`

3. Take the reciprocal (switch the places of numerator and denominator) of the second number in the expression

`(-3)/(8)` ×
`(-3)/(1)`

4. Multiply across

`(-3*-3)/(8*1)`

`(9)/(8)`

Hope this helped!

~Just a girl in love with Shawn Mendes