Question Simplify the absolute value of the negative fraction -6/5.

Studdy Solution

STEP 1

Assumptions
1. We need to simplify the expression $-\left|-\frac{6}{5}\right|$ .
2. The vertical bars denote the absolute value, which is the non-negative value of the number inside.

STEP 2

First, we need to evaluate the absolute value of $-\frac{6}{5}$ .
$\left|-\frac{6}{5}\right|$

STEP 3

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of $-\frac{6}{5}$ is the same as the absolute value of $\frac{6}{5}$ .
$\left|-\frac{6}{5}\right| = \left|\frac{6}{5}\right|$

STEP 4

Since $\frac{6}{5}$ is a positive number, its absolute value is simply itself.
$\left|\frac{6}{5}\right| = \frac{6}{5}$

STEP 5

Now, we apply the negative sign in front of the absolute value to the result from STEP_4.
$-\left|\frac{6}{5}\right| = -\frac{6}{5}$

STEP 6

The simplified form of the original expression is thus the negative of the fraction $\frac{6}{5}$ .
$-\left|-\frac{6}{5}\right| = -\frac{6}{5}$
The expression simplifies to $-\frac{6}{5}$ .

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Question Simplify the absolute value of the negative fraction -6/5.

Studdy Solution

STEP 1

Assumptions
1. We need to simplify the expression $-\left|-\frac{6}{5}\right|$ .
2. The vertical bars denote the absolute value, which is the non-negative value of the number inside.

STEP 2

First, we need to evaluate the absolute value of $-\frac{6}{5}$ .
$\left|-\frac{6}{5}\right|$

STEP 3

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of $-\frac{6}{5}$ is the same as the absolute value of $\frac{6}{5}$ .
$\left|-\frac{6}{5}\right| = \left|\frac{6}{5}\right|$

STEP 4

Since $\frac{6}{5}$ is a positive number, its absolute value is simply itself.
$\left|\frac{6}{5}\right| = \frac{6}{5}$

STEP 5

Now, we apply the negative sign in front of the absolute value to the result from STEP_4.
$-\left|\frac{6}{5}\right| = -\frac{6}{5}$

STEP 6

The simplified form of the original expression is thus the negative of the fraction $\frac{6}{5}$ .
$-\left|-\frac{6}{5}\right| = -\frac{6}{5}$
The expression simplifies to $-\frac{6}{5}$ .

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Question Simplify the absolute value of the negative fraction -6/5.

Studdy Solution

STEP 1

Assumptions1. We need to simplify the expression −∣−65∣-\left|-\frac{6}{5}\right|−∣∣​−56​∣∣​.2. The vertical bars denote the absolute value, which is the non-negative value of the number inside.

STEP 2

First, we need to evaluate the absolute value of −65-\frac{6}{5}−56​.∣−65∣\left|-\frac{6}{5}\right|∣∣​−56​∣∣​

STEP 3

STEP 4

Since 65\frac{6}{5}56​ is a positive number, its absolute value is simply itself.∣65∣=65\left|\frac{6}{5}\right| = \frac{6}{5}∣∣​56​∣∣​=56​

STEP 5

Now, we apply the negative sign in front of the absolute value to the result from STEP_4.−∣65∣=−65-\left|\frac{6}{5}\right| = -\frac{6}{5}−∣∣​56​∣∣​=−56​

STEP 6

The simplified form of the original expression is thus the negative of the fraction 65\frac{6}{5}56​.−∣−65∣=−65-\left|-\frac{6}{5}\right| = -\frac{6}{5}−∣∣​−56​∣∣​=−56​The expression simplifies to −65-\frac{6}{5}−56​.

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Assumptions
1. We need to simplify the expression $-\left|-\frac{6}{5}\right|$ .
2. The vertical bars denote the absolute value, which is the non-negative value of the number inside.

First, we need to evaluate the absolute value of $-\frac{6}{5}$ .
$\left|-\frac{6}{5}\right|$

Since $\frac{6}{5}$ is a positive number, its absolute value is simply itself.
$\left|\frac{6}{5}\right| = \frac{6}{5}$

Now, we apply the negative sign in front of the absolute value to the result from STEP_4.
$-\left|\frac{6}{5}\right| = -\frac{6}{5}$

The simplified form of the original expression is thus the negative of the fraction $\frac{6}{5}$ .
$-\left|-\frac{6}{5}\right| = -\frac{6}{5}$
The expression simplifies to $-\frac{6}{5}$ .