Question

Estimate the sum 7 8/9 + 3.1

Answer 1

`\large\boxed{7(8)/(9)+3.1=10(89)/(90)}`

Explanation:

`\text{Convert the decimal to the fraction:}\\\\3.1=(31)/(10)=3(1)/(10)\\\\7(8)/(9)+3.1=7(8)/(9)+3(1)/(10)\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7(8)/(9)=7(8\cdot10)/(9\cdot10)=7(80)/(90)\\\\3(1)/(10)=3(1\cdot9)/(10\cdot9)=3(9)/(90)\\\\\\7(8)/(9)+3.1=7(80)/(90)+3(9)/(90)=(7+3)+(80+9)/(90)=10(89)/(90)`

Answer 2

11

Explanation: