Question
Write the ratio as a simplified fraction: 20 to 36
5/9
2/3
10/18
20/36
5/9
2/3
10/18
20/36
Answers
GPT-4o mini
To simplify the ratio of 20 to 36, we can express it as a fraction:
\[
\frac{20}{36}
\]
Next, we need to find the greatest common divisor (GCD) of 20 and 36. The factors of 20 are 1, 2, 4, 5, 10, 20 and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The largest common factor is 4.
Now, we can divide both the numerator and the denominator by their GCD (4):
\[
\frac{20 \div 4}{36 \div 4} = \frac{5}{9}
\]
So, the simplified fraction for the ratio 20 to 36 is:
\[
\frac{5}{9}
\]
The correct answer is **5/9**.
\[
\frac{20}{36}
\]
Next, we need to find the greatest common divisor (GCD) of 20 and 36. The factors of 20 are 1, 2, 4, 5, 10, 20 and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The largest common factor is 4.
Now, we can divide both the numerator and the denominator by their GCD (4):
\[
\frac{20 \div 4}{36 \div 4} = \frac{5}{9}
\]
So, the simplified fraction for the ratio 20 to 36 is:
\[
\frac{5}{9}
\]
The correct answer is **5/9**.