Write the ratio in lowest terms in order to decide whether the proportion is true or false.
52/36=91/63
To determine if the proportion is true or false, we need to simplify the ratio 52/36 and 91/63 to lowest terms.
To simplify 52/36, we can find the greatest common divisor (GCD) of 52 and 36, which is 4. We then divide both the numerator and denominator by 4:
52/4 = 13
36/4 = 9
So, 52/36 can be simplified to 13/9.
Similarly, to simplify 91/63, we can find the GCD of 91 and 63, which is 7. We divide both the numerator and denominator by 7:
91/7 = 13
63/7 = 9
So, 91/63 can also be simplified to 13/9.
Now that both ratios have been simplified to 13/9, we can conclude that the proportion 52/36 = 91/63 is true.