Question

How do you evaluate `4 2/7 - 1/6`?

Answer 1

You can convert the numbers to fractions and add them up

Explanation:

`4 2/7=4+2/7=28/7+2/7`, since `4=28/7`

Observe that we have chosen the denominator `7` carefully, because now we have:

`4+2/7=28/7+2/7=30/7`. And now we can subtract:

`30/7-1/6=180/42-7/42` where again we have chosen `42` as the denominator because both `7` and `6` divide `42`. Now we then have:

`30/7-1/6=180/42-7/42=173/42`, or if you prefer `4 5/42`, both are correct answers