Answer: The fraction
![(7)/(17)](https://img.qammunity.org/2021/formulas/mathematics/high-school/uc39xwhg7n6yslzk1f1y0wjl6d53qusoiq.png)
This can be written as 7/17 if you are using a computer keyboard.
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Step-by-step explanation:
The two negatives next to each other basically cancel each other out to form a positive or a plus sign
We have
![-(9)/(85) - \left(-(44)/(85)\right)](https://img.qammunity.org/2021/formulas/mathematics/high-school/uttowub3tba60pi1yd07s7zy2hgvzf2vve.png)
turn into
![-(9)/(85) +(44)/(85)](https://img.qammunity.org/2021/formulas/mathematics/high-school/py5li5mprcke5qb3sudp574hf6muq75ahb.png)
From here, we add the fractions. To do this, we add the numerators and place the sum over the common denominator 85. This is only possible since both denominators are the same number.
![-(9)/(85) +(44)/(85) = (-9+44)/(85) = (35)/(85)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3oy5tv2btn5it9a51fvzhjqxhktgx85wst.png)
The last thing to do is to reduce this fraction as much as possible.
We see that 35 and 85 have 5 as a common factor. Divide each number by 5 to get...
Therefore,
![(35)/(85) = (7)/(17)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kmm3wxvdmvj4819veax5bqp5fblcz6uxcc.png)
So overall,
![-(9)/(85) - \left(-(44)/(85)\right) = (7)/(17)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qkxxn00wfb8x8tx1iqvylu7w9cnth5919j.png)