Verified Answer :

You can also figure it out by knowing that 7/8 is 1/8 away from 1 and 11/10 is 1/10 away from 1. since 1/10 is smaller than 1/8, you know that 11/10 is closer to 1 than 7/8.

Let

A-----> \(\frac{7}{8}\)

B-----> \(\frac{11}{10}\)

C-----> \(1\)

we know that

Point A-------> Multiply numerator and denominator by \(10\)

\(\frac{7*10}{8*10} =\frac{70}{80}\)

Point B-------> Multiply numerator and denominator by \(8\)

\(\frac{11*8}{10*8} =\frac{88}{80}\)

Point C-------> Multiply numerator and denominator by \(80\)

\(\frac{1*80}{1*80} =\frac{80}{80}\)

Find the distance Point A to Point C

\(\frac{80}{80} -\frac{70}{80} =\frac{10}{80}\)

Find the distance Point B to Point C

\(\frac{88}{80} -\frac{80}{80} =\frac{8}{80}\)

therefore

\(\frac{8}{80} < \frac{10}{80}\)

Point B is closer to Point C

\(\frac{11}{10}\) is closer to \(1\)

the answer is

\(\frac{11}{10}\) is closer to \(1\)