Question

The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510<36 510<36 12>13 1 half is greater than 1 third 48>26 4 eighths is greater than 2 sixths 35>45

Answer 1

`(d)`
`(4)/(8)>(2)/(6)`

Explanation:

Given

`(1)/(4) <(1)/(6)`

`(5)/(10)<(3)/(6)`

`(1)/(2)>(1)/(3)`

`(4)/(8)>(2)/(6)`

`(3)/(5)>(4)/(5)`

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e.
`(1)/(2)` and not as an inequality i.e.
`(3)/(5)>(4)/(5)`

Given the format of the question, what is required of the question is to select all correct inequality.

`(a)`
`(1)/(4) <(1)/(6)`

Convert to decimals

`0.25 < 0.167` ---- This is not true because
`0.25 > 0.167`

`(b)`
`(5)/(10)<(3)/(6)`

Convert to decimals

`0.5 < 0.5` ---- This is not true because
`0.5 = 0.5`

`(c)`
`(1)/(2)>(1)/(3)`

Convert to decimals

`0.5 > 0.33` ---- This is true

`(d)`
`(4)/(8)>(2)/(6)`

Convert to decimals

`0.5 > 0.33` ---- This is true

`(e)`
`(3)/(5)>(4)/(5)`

`0.6 > 0.8` --- This is not true because
`0.6 < 0.8`

So: the true inequality is:

`(d)`
`(4)/(8)>(2)/(6)`