Write the ratio in lowest terms in order to decide whether the proportion is true or false.
10/12=4/7
To determine if the proportion is true or false, the ratio 10/12 and 4/7 must be simplified to lowest terms.
10/12 simplifies to 5/6 (dividing both the numerator and denominator by their greatest common divisor, which is 2).
4/7 is already in lowest terms, so it does not need to be simplified further.
Therefore, the simplified ratios are 5/6 and 4/7. However, these two ratios are not equal, so the proportion 10/12=4/7 is false.