What number, when divided by \(-\frac{1}{2}\), equals \(-\frac{7}{3}\)?

(-1/2)/x = -7/3
*multiply both sides by x
(-1/2) = (-7/3)x
*divide both sides by (-7/3)
(-1/2)/(-7/3) = x
dividing by a fraction is the same as multiplying by it's reciprocal:
x = (-1/2)*(-3/7)

the negative signs cancel

x = (1/2)*(3/7)
x = (1 3)/(2 7)
x = 3/14

Answered by Anonymous | 2024-06-10

The number by which **-1/2 **is **divided **by to give **-7/3 **is 3/14.

What is Division?
Division is the process of breaking a number up into equal parts , and finding out how many equal parts can be** made.**

Given is the following statement -
" **-1/2 **divided by what equals -7/3 "
Assume that the number by which **-1/2 **is **divided **by to give **-7/3 **be n . Then, we can write -
-1/2 ÷ n = -7/3
-1/2 x 1/n = -7/3
-1/2n = -7/3
n = -1/2 x -3/7
n = 3/14
Therefore, the number by which **-1/2 **is **divided **by to give **-7/3 **is 3/14.

To solve more questions on Divisions of fractions , visit the link below-
https://brainly.com/question/16721061
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Answered by kumaripoojavt | 2024-06-16

The number that, when divided by − 2 1 ​ , equals − 3 7 ​ is 14 3 ​ . We found this by setting up an equation and solving for the unknown number. This involved rearranging and simplifying the multiplication of fractions.
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Answered by kumaripoojavt | 2024-10-02