Question

Divide. -3 3/4 divided by 3

A. -1 1/4

B. -3/4

C. 3/4

D. 1 1/4

Answer 1

To divide -3 3/4 by 3, convert the mixed number to an improper fraction. Then divide the fraction by 3 using reciprocal multiplication. The answer is -3/4.

Step-by-step explanation:

To divide -3 3/4 by 3, we first need to convert the mixed number -3 3/4 into an improper fraction. This can be done by multiplying the whole number -3 by the denominator of the fraction (4) and then adding the numerator (3) to get -12 + 3 = -9. So, -3 3/4 is equivalent to -9/4. Now, we can divide -9/4 by 3 to get -9/4 ÷ 3.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, -9/4 ÷ 3 = -9/4 × 1/3. Multiplying the numerators (-9 × 1) and the denominators (4 × 3), we get -9/12, which can be simplified to -3/4. Therefore, the answer is B. -3/4.

Answer 2

A.
`-1(1)/(4)`

Step-by-step explanation:

`-3(3)/(4) / 3 = -(15)/(4) * (1)/(3) = -(15)/(12) = -1(3)/(12) = -1(1)/(4)`

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