Question

Parker marks sixths on number line. He writes 5/6 just before 1. What fraction does he write on the first mark to the right of 1?

Answer 1

The first fraction at the right of 1 is
`(7)/(6)` or
`1(1)/(6)`

Explanation:

Given

Marks of 6ths on a number line

Fraction 5/6 just before 1

Required

What fraction is at the right 1

To get the first fraction at the right of 1, we need to get the difference between each fraction;

This is calculated as follows;

`Difference = 1 - (5)/(6)`

Take LCM

`Difference = (6 - 5)/(6)`

`Difference = (1)/(6)`

This implies that the difference between each mark is
`(1)/(6)`.

To get the first mark at the right of 1;

We simply add the difference to 1;

This implies that;

`Mark = 1 + (1)/(6)`

Take LCM

`Mark = (6 + 1)/(6)`

`Mark = (7)/(6)`

Convert to mixed fraction

`Mark = 1(1)/(6)`

Hence, the first fraction at the right of 1 is
`(7)/(6)` or
`1(1)/(6)`