Question

How do you express 0.34 as a fraction in its simplest form?

Answer 1

See a solution process below:

Explanation:

`0.34` is 34 hundredths, or, `34/100`

We can factor and reduce `34/100` as:

`34/100 => (2 xx 17)/(2 xx 50) => (color(red)(cancel(color(black)(2))) xx 17)/(color(red)(cancel(color(black)(2))) xx 50) => 17/50`

Another approach to show `0.34 = 34/100` is:

`0.34 => 0.34/1 => 0.34/1 xx 100/100 => (0.34 xx 100)/(1 xx 100) =>`

`34/100 => (2 xx 17)/(2 xx 50) => (color(red)(cancel(color(black)(2))) xx 17)/(color(red)(cancel(color(black)(2))) xx 50) => 17/50`