Question

Select all the steps that you could use to subtract a negative fraction from a positive decimal. Subtract the absolute value of the decimal. Convert both numbers into fraction form. Convert both numbers into decimal form. Add the negative number to the positive number. Add the opposite of the negative number to the positive number.

Answer 1

The usable steps are:-

• Convert both numbers into fraction form.

• Convert both numbers into decimal form.

• Add the opposite of the negative number to the positive number.

Explanation:

To answer this question, I'll make use of the following numbers;

`Decimal = 2.5`

`Fraction = -(1)/(2)`

From the list of given options;

Only Option 2, 3 and 5 are applicable

Option 2 can be used by converting the decimal to fraction as follows:

`Decimal = 2.5`

The Fraction equivalent of 2.5 is
`(5)/(2)`

Then subtract
`-(1)/(2)` from it;

So:

`Result = (5)/(2) - (-(1)/(2))`

`Result = (5)/(2) + (1)/(2)`

`Result = (5 + 1)/(2)`

`Result = (6)/(2)`

`Result = 3`

Option 3 can also be used by converting the fraction to decimal as follows

`Decimal = 2.5`

`Fraction = -(1)/(2)`

Decimal equivalent of
`-(1)/(2)` is -0.5

So:

`Result = 2.5 - (-0.5)`

`Result = 2.5 +0.5`

`Result = 3`

Option 5 can also be used.

This is shown as follows;

The opposite of
`-(1)/(2)` is
`(1)/(2)`

Add this to 2.5

`Result = 2.5 + (1)/(2)`

Convert
`\frac{1}2}` to 0.5

`Result = 2.5 +0.5`

`Result = 3`