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Write the ratio 12:9

as an equivalent ratio of 4:x
. Write your answer as a complete ratio. (1 p oint)

1 answer

To find the equivalent ratio of \( 12:9 \) as \( 4:x \), we start by simplifying the ratio \( 12:9 \).

  1. Simplify \( 12:9 \):

    • The greatest common divisor (GCD) of 12 and 9 is 3.
    • Dividing both terms by 3, we get: \[ 12 \div 3 = 4 \] \[ 9 \div 3 = 3 \] Thus, the simplified ratio is \( 4:3 \).

  2. We need to write \( 4:3 \) in the form \( 4:x \).

    • In this case, \( 4 \) corresponds to \( 4 \) in \( 4:x \), and we want to find the value of \( x \) that corresponds to \( 3 \).
    • Therefore, \( x \) should be \( 3 \).

So, the complete ratio is \( 4:3 \).