Question

How do you simplify the ratio 35 to 55?

Answer 1

`35/55-=7/11" "` The `-=` means equivalent to

Or you can write it as `" "7:11`

Explanation:

Write the ratio in fractional form giving: `35/55`

To maintain the correct proportion of a ratio, if you multiply or divide one of the numbers by some value then you have to do the same thing to the other number.

`35/55" "->" "(35-:5)/(55-:5) =7/11`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Foot note")`

`color(brown)("Ratio in the above format must not be thought of as a fraction of something."`

Explained by example:
Suppose we hade 6 black beads and 2 red beads

Then the ratio `("black")/("red") ->6/2`

But considered the black beads as a fraction of all the beads `6/(6+2)`

`6/8` is very different to `6/2`

`color(brown)("NEVER LOSE SIGHT OF THE PURPOSE OF THE NUMBERS IS")`