Question

Evaluate.

[2−∣∣−14−2(−35)∣∣]÷(−6)

What is the value of the expression?

Enter your answer as a simplified fraction in the box.
GIVING 100

Answer 1

The solution of the mathematical expressions will be 0.175.

Explanation:

Given that;

The mathematical expressions are,

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Now,

Solve the mathematical expression as;

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Using the BODMAS rule to solve the expressions as;

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6

⇒ [ 2 - 19/20 ] ÷ -6

⇒ [ 21/20] ÷ -6

⇒ 21/20 x 1/-6

⇒ - 7 / 40

Therefore,

The solution of the mathematical expressions will be 0.175.

But you didn't have to cut me off

Make out like it never happened and that we were nothing (aah-ooh)

And I don't even need your love (ooh)

But you treat me like a stranger, and that feels so rough (aah)

No, you didn't have to stoop so low (ooh)

Have your friends collect your records and then change your number (aah)

I guess that I don't need that, though

Now you're just somebody that I used to know

Answer 2

`-(7)/(40)`

Explanation:

Given expression:

`\left[2-\left|-(1)/(4)-2\left(-(3)/(5)\right)\right|\right] / (-6)`

Carry out the operations inside the absolute value bars (following the order of operations):

`\implies \left[2-\left|-(1)/(4)+(6)/(5)\right|\right] / (-6)`

`\implies \left[2-\left|(19)/(20)\right|\right] / (-6)`

As the fraction inside the absolute value bars is already positive, we can simply remove the bars:

`\implies \left[2-(19)/(20)\right] / (-6)`

Rewrite 2 as 40/20 and carry out the subtraction inside the square brackets:

`\implies \left[(40)/(20)-(19)/(20)\right] / (-6)`

`\implies \left[(40-19)/(20)\right] / (-6)`

`\implies \left[(21)/(20)\right] / (-6)`

Rewrite -6 as a fraction:

`\implies (21)/(20) / -(6)/(1)`

When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:

`\implies (21)/(20) *-(1)/(6)`

`\implies (21 * (-1))/(20 * 6)`

`\implies -(21)/(120)`

Reduce the fraction to its simplest form by dividing the numerator and denominator by the highest common factor, 3:

`\implies -(21 / 3)/(120 / 3)`

`\implies -(7)/(40)`