Question

WHICH IS BIGGER?? 1 1/12 OR 1 1/20

Answer 1

To compare the two fractions \(1 \frac{1}{12}\) and \(1 \frac{1}{20}\), we can convert them into improper fractions.

1. Convert \(1 \frac{1}{12}\):
\[
1 \frac{1}{12} = \frac{12}{12} + \frac{1}{12} = \frac{13}{12}
\]

2. Convert \(1 \frac{1}{20}\):
\[
1 \frac{1}{20} = \frac{20}{20} + \frac{1}{20} = \frac{21}{20}
\]

Now, we need to compare \(\frac{13}{12}\) and \(\frac{21}{20}\). To do this, we can find a common denominator, which would be 60 in this case.

Convert \(\frac{13}{12}\):
\[
\frac{13}{12} = \frac{13 \times 5}{12 \times 5} = \frac{65}{60}
\]

Convert \(\frac{21}{20}\):
\[
\frac{21}{20} = \frac{21 \times 3}{20 \times 3} = \frac{63}{60}
\]

Now, we can see that:
\[
\frac{65}{60} > \frac{63}{60}
\]

Thus, \(1 \frac{1}{12}\) is greater than \(1 \frac{1}{20}\). So, \(1 \frac{1}{12}\) is the bigger value.