Question

Write the decimal number 0.83333333 as a rational number​

Answer 1

`\displaystyle{\large{{0.83333333}=\frac{{{83333333}}}{{{100000000}}}}}`

Explanation:

Rational numbers are simply numbers that can be written as fractions or ratios.

To write the decimal number 0.83333333 as a rational number you must:

1. Multiply and divide by 10 for every number after the decimal point.
2. Since the decimal part contains 8 digits (to the right of the decimal point), we need to multiply our number by
   `\displaystyle{\large{{{10}}^{{{8}}}={100000000}}}` to obtain the rational number.

`\displaystyle{\large{\frac{{{0.83333333}}}{{1}}=\frac{{{0.83333333}\cdot{{{{100000000}}}}}}{{{1}\cdot{{{{100000000}}}}}}=\frac{{{83333333}}}{{{100000000}}}}}`