-1/2 divided _____________= -7/3

how do I get the number that equals -7/3

think about 6 divided by ____ = 2

How would you solve this problem?

divide 6 by 2 to get 3

It is true that 6 divided by 3 = 2

do the same thing here-
-1/2 divided by -7/3

Instead of dividing fractions we multiply by the reciprocal

-1/2 times -3/7

Multiply the numerators and multiply the denominators and that will give you your answer.

Be sure to check in the original problem.

To find the missing number that, when divided by -1/2, yields -7/3, you can use the division property of equality.

To divide fractions, you need to multiply the numerator of the first fraction by the denominator of the second fraction and multiply the denominator of the first fraction by the numerator of the second fraction.

Let's denote the missing number as "x." Then the equation becomes:

-1/2 divided by x = -7/3

To find the value of x, you can cross-multiply and solve for x.

Multiply -1/2 by 3 and -7 by x:

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

-3/2 = -7x

To isolate the variable x, multiply both sides of the equation by -2/7:

(-3/2) * (-2/7) = (-7x) * (-2/7)

6/14 = x

Therefore, the number that equals -7/3 when divided by -1/2 is 6/14 or simplified as 3/7.

To find the missing number in the expression "-1/2 divided by a number equals -7/3," you can follow these steps:

Step 1: Understand the problem.
We are given that when we divide -1/2 by a certain number, the result is -7/3.

Step 2: Write the equation.
Let's represent the missing number as "x." So, we can write the equation: -1/2 ÷ x = -7/3.

Step 3: Solve the equation.
To solve the equation, we can multiply both sides by "x" to eliminate the fraction on the left side. This will give us: (-1/2) * x = (-7/3) * x.

Step 4: Simplify.
On the left side, we have the product of two fractions, (-1/2) * x. Multiply the numerators (-1 * 1) to get -1, and multiply the denominators (2 * 1) to get 2. So, the left side simplifies to -x/2. On the right side, we have (-7/3) * x, which becomes -7x/3.

The equation now becomes: -x/2 = -7x/3.

Step 5: Get rid of the fractions.
To get rid of the fractions, we need to multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 6.

Multiply the left side: (6) * (-x/2) = -6x/2 = -3x.
Multiply the right side: (6) * (-7x/3) = -42x/3 = -14x.

The equation now becomes: -3x = -14x.

Step 6: Solve for x.
To solve the equation, we need to isolate x. Add 14x to both sides: -3x + 14x = -14x + 14x. This simplifies to 11x = 0.

Finally, divide both sides by 11: (11x)/11 = 0/11. Therefore, x = 0.

So, the number that when divided by -1/2 gives -7/3 is 0.