Write the ratio in lowest terms in order to decide whether the proportion is true or false.
130/140=200/320
To write the ratio in lowest terms, we need to simplify both fractions.
First, let's simplify the fraction 130/140:
The greatest common divisor (GCD) of 130 and 140 is 10. By dividing both the numerator and the denominator by 10, we get:
130/140 = 13/14
Next, let's simplify the fraction 200/320:
The GCD of 200 and 320 is 40. By dividing both the numerator and the denominator by 40, we get:
200/320 = 5/8
Therefore, the simplified ratio is 13/14 for 130/140 and 5/8 for 200/320.
To determine whether the proportion is true or false, we compare the simplified ratios:
13/14 ≠ 5/8
Since the simplified ratios are not equal, the proportion is false.