Question

What is the answer and how?

Answer 1

`\large\boxed{4(5)/(6)-(17)/(18)=3(8)/(9)}`

Explanation:

`4(5)/(6)-(17)/(18)\\\\\text{Find the common denominator.}\\\text{The common denominator is 18}=6\cdot3\\\\4(5)/(6)=4(5\cdot3)/(6\cdot3)=4(15)/(18)\\\\4(5)/(6)-(17)/(18)=4(15)/(18)-(17)/(18)=4+(15)/(18)-(17)/(18)=4-(2)/(18)=3(18)/(18)-(2)/(18)=3(16)/(18)\\\\=3(16:2)/(18:2)=3(8)/(9)`