What is the fractional equivalent of 2.125

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

1 answer

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:

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