Are the ratios 25/45 and 15/27
thank you oobleck
the reduced fractions are equivalent
to reduce fractions, you need to find a common factor in the top and bottom.
25/45 = 5*5 / 5*9 = (5/5)(5/9) = 5/9
15/27 = 3*5 / 3*9 = 5/9
since the two fractions both simplify to the same value, they are equal.
Or, you can just say they are equal, and see whether the equation can be solved
25/45 = 15/27
Now multiply by the common denominator of 45*27
25/45 * 45*27 = 15/27 * 45*27
25*27 = 15*45
675 = 675
so, since the last step is true, the first step, which led there, must also be true.
i ment to say proportional at the end sorry :)
To determine whether the ratios 25/45 and 15/27 are equal, we need to simplify both ratios and compare them.
First, let's simplify the ratio 25/45:
1. Find the Greatest Common Divisor (GCD) of 25 and 45, which is 5.
2. Divide both the numerator (25) and denominator (45) by the GCD:
25/5 = 5
45/5 = 9
So the simplified ratio of 25/45 is 5/9.
Next, let's simplify the ratio 15/27:
1. Find the GCD of 15 and 27, which is 3.
2. Divide both the numerator (15) and denominator (27) by the GCD:
15/3 = 5
27/3 = 9
So the simplified ratio of 15/27 is also 5/9.
Since both simplified ratios are equal (5/9), we can conclude that the ratios 25/45 and 15/27 are equal.