Question

Select the correct answer.

Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /

Answer 1

`\huge \boxed{ \bold{ \purple{1 (1)/(7) }}}`

Option B is the correct option

Explanation:

`\mathsf{ - 9 (2)/(7) - ( - 10 (3)/(7)) }`

First thing we have to do is that convert the mixed number into improper fraction .

`\blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}`

Follow the steps:

• Multiply denominator by the whole number.
• Add the answer from step 1 to the numerator.
• Put step 2 answer over the denominator

Now, let's do it!

`\mathsf{ - ( 9 *7 + 2 )/(7) - ( - 10 (3)/(7) )}`

⇒
`\mathsf{ - (65)/(7) - ( - 10 (3)/(7) )}`

When there is a ( - ) in front of an expression in the

parentheses , change the sign of each term in the expression

⇒
`\mathsf{ - (65)/(7) + 10 (3)/(7) }`

Convert mixed number into improper fraction

⇒
`\mathsf{ - (65)/(7) + (73)/(7) }`

While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same

⇒
`\mathsf{ ( - 65 + 73)/(7) }`

Calculate

⇒
`\mathsf{ (8)/(7) }`

Convert the improper fraction into mixed fraction.

( Since 8 is being divided by 7 , I am gonna use long division )

( See attached picture )

⇒
`\mathsf{1 (1)/(7) }`

Hope I helped!

Best regards!!

Answer 2

1 1/7.

Explanation:

-9 2/7 - (-10 3/7)

= -9 2/7 + 10 3/7

= - 9 + 10 - 2/7 + 3/7

= 1 + 1/7

= 1 1/7.