Question

(1 3/4 - 1/8)+(5/6 ÷ 2/3)

Answer 1

23/8

Step-by-step explanation

To solve this, first, we have to do the operations in the parenthesis. The first one is a subtraction between a mixed number and a fraction, so before doing the subtraction, we have to convert the number to an improper fraction by adding the parts,

`1(3)/(4)=1+(3)/(4)=(7)/(4)`

So the subtraction is,

`1(3)/(4)-(1)/(8)=(7)/(4)-(1)/(8)=(2\cdot7-1)/(8)=(14-1)/(8)=(13)/(8)`

Then we divide the second term using the KCF rule:

• K,eep the first fraction

,

• C,hange the division sign for a multiplication sign

,

• F,lip the second fraction

`(5)/(6)/(2)/(3)=(5)/(6)*(3)/(2)=(15)/(12)=(5)/(4)`

Now, we add these two results,

`(13)/(8)+(5)/(4)=(13+5\cdot2)/(8)=(13+10)/(8)=(23)/(8)`

Hence, the answer is 23/8.