Write the ratio as a fraction in lowest terms.

6 to 4 1/6

To write the ratio 6 to 4 1/6 as a fraction in lowest terms, we first need to convert the mixed number 4 1/6 to an improper fraction.

4 1/6 = (6 * 4) + 1 / 6 = 25/6

Now the ratio becomes 6 : 25/6.

To write this ratio as a fraction, we need to multiply both the numerator and denominator of the fraction by 6 to get rid of the fraction.

6 * 6 : 25/6 * 6

This simplifies to:

36 : 25

Therefore, the ratio 6 to 4 1/6 as a fraction in lowest terms is 36/25.