Write the ratio in lowest terms in order to decide whether the proportion is true or false.
9/15=5/8
To find the lowest terms of the ratio 9/15, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 9 by 3 gives us 3, and dividing 15 by 3 gives us 5.
So, the ratio 9/15 in lowest terms is 3/5.
To find the lowest terms of the ratio 5/8, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
Since 1 is the greatest common divisor of 5 and 8, the ratio 5/8 is already in its lowest terms.
Comparing the ratios, we have 3/5 = 5/8.
Hence, the proportion 9/15 = 5/8 is false.