Question

2.67 as a frachtion

Answer 1

To convert the decimal 2.67 into a fraction, you can follow these steps:

1. Recognize that 2.67 can be separated into its whole number and decimal parts:
\[
2.67 = 2 + 0.67
\]

2. Convert the decimal part (0.67) into a fraction. Since 0.67 is equivalent to \(\frac{67}{100}\) (because there are two digits after the decimal point):

So,
\[
0.67 = \frac{67}{100}
\]

3. Now, combine the whole number and the fraction:
\[
2 + \frac{67}{100} = \frac{2 \times 100}{100} + \frac{67}{100} = \frac{200}{100} + \frac{67}{100} = \frac{267}{100}
\]

4. The fraction \(\frac{267}{100}\) is already in its simplest form because 267 and 100 have no common factors other than 1.

Therefore, the decimal 2.67 as a fraction is:
\[
\frac{267}{100}
\]