Are the ratios 4/6 and 14/21 equivalent or not equivalent?
Why?
4/6 = 2/3 = 8/12 = 14/21
thanks!
Thanks that was helpful😊
To determine whether the ratios 4/6 and 14/21 are equivalent or not, you can simplify each ratio by dividing both the numerator and the denominator by their greatest common divisor (GCD).
For the first ratio, 4/6, the GCD of 4 and 6 is 2. By dividing both the numerator and the denominator by 2, you get 2/3.
For the second ratio, 14/21, the GCD of 14 and 21 is also 7. By dividing both the numerator and the denominator by 7, you get 2/3.
Since both simplified ratios are equal to 2/3, the original ratios 4/6 and 14/21 are equivalent.