Question

Kiyo and Steven are tiling the floors in an

office building. Kiyo tiled of the floor in
one office, and Steven tiled of the floor
in another office.
Write to explain how to use a benchmark
fraction to determine who tiled a greater
portion of a floor.

Answer 1

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled
`(3)/(6)` of the floor in one office, and Steven tiled
`(5)/(12)` of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office =
`(3)/(6)`

Steven tiled in another office =
`(5)/(12)`

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use
`(1)/(2)` as the common fraction.

Compare
`(3)/(6)` and
`(5)/(12)` using
`(1)/(2)`:

`(3)/(6)` is equal to the fraction
`(1)/(2)`.

`$(3)/(6)=(1)/(2)`

`$(5)/(12)<(1)/(2)`

`$\Rightarrow(5)/(12)<(3)/(6)`

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.