Question

Question #6129c

Answer 1

`1:24`

Explanation:

To make a direct comparison we need to use the same units of measurement.

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`color(blue)("Using inches")`

`color(brown)("Not normally shown this way")`

BRACKETS ARE USED TO GROUP THINGS. THEY SURVE NO OTHER PURPOSE.

1 foot has 12 inches `->6xx("1 foot has 12 inches")`

Multiply everything inside the bracket by 6
`" "->" "("6 feet has 72 inches")`

So 3 inches to 6 feet is the ratio `->" 3 inches : 6 feet"`

Which is the same as `" "->" 3 inches : 72 inches"`

3 will divide exactly into both 3 and 72 so simplify the ratio.

`->3:72" " -=" "(3-:3):(72-:3)" " =" " 1:24`

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`color(blue)("Using feet")`

3 inches is: `" "3/12` feet `->1/4" feet"`

So we have the ratio of `1/4 : 6`

Multiply both by 4

`color(green)( [1/4color(red)(xx4)]" ":" "[ color(white)(2/2)6color(red)(xx4)" "] )`

`color(green)( [color(white)(2/2)1" "]" ":" "[ color(white)(2/2)24" "] )`

`" "1:24"`