Which of the following ratios is equivalent to 15/20?
A.200 to 150
B.3:5
C.5/4
D.45 to 60
B. 3:5
15/20
= 3/4
although 45/60 = 3/4
but usually we simplify not "complify"
To find which of the given ratios is equivalent to 15/20, we can simplify 15/20 by dividing both the numerator and the denominator by their greatest common factor (GCF).
The GCF of 15 and 20 is 5, so we divide both numbers by 5:
15 ÷ 5 = 3
20 ÷ 5 = 4
Now, the simplified equivalent ratio of 15/20 is 3/4.
Let's check each option:
A. 200 to 150 = 200/150, which is not equivalent to 3/4.
B. 3:5 = 3/5, which is not equivalent to 3/4.
C. 5/4 = 5/4, which is not equivalent to 3/4.
D. 45 to 60 = 45/60, which is not equivalent to 3/4.
None of the given ratios is equivalent to 15/20 (or 3/4).
To determine which ratio is equivalent to 15/20, we need to simplify the fraction 15/20 by finding the greatest common divisor (GCD) of the numerator and denominator. Then, we divide both the numerator and denominator by the GCD to obtain the simplified fraction.
The GCD of 15 and 20 is 5. By dividing both the numerator and denominator by 5, we get:
15/5 ÷ 20/5 = 3/4
So, the simplified form of 15/20 is 3/4.
Now, let's check which ratio from the given options is equivalent to 3/4.
A. 200 to 150: To convert this ratio into a fraction, we divide both numbers by their GCD, which is 50. The resulting fraction is 4/3, which is not equivalent to 3/4.
B. 3:5: This ratio is already presented in a simplified form. It is not equivalent to 3/4.
C. 5/4: This is the simplified form of 3/4, so it is equivalent to 3/4.
D. 45 to 60: To convert this ratio into a fraction, we divide both numbers by their GCD, which is 15. The resulting fraction is 3/4, which is equivalent to 3/4.
Therefore, the ratio equivalent to 15/20 is C. 5/4.