Question

What is the fractional equivalent of 2.125

2 1/6
1 2/8
2 1/8
2 3/8

Answer 1

To convert the decimal 2.125 to a fraction, we can break it down:

1. The whole number part is 2.
2. The decimal part is 0.125.

Now, let's convert 0.125 to a fraction:

0.125 can be written as:
\[
\frac{125}{1000}
\]

Now, simplify the fraction \(\frac{125}{1000}\):
- Both the numerator and the denominator can be divided by 125:

\[
\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
\]

Therefore, 0.125 is equivalent to \(\frac{1}{8}\).

Now, combine this with the whole number part:

\[
2 + \frac{1}{8} = 2 \frac{1}{8}
\]

So, the fractional equivalent of 2.125 is:

\(\boxed{2 \frac{1}{8}}\)