Write the ratio of 4 1/3 to 6 in simplest form.

change the numerator to improper fraction...

13/3

multiply it by the inverse of 6

13/18

To write the ratio of 4 1/3 to 6 in simplest form, we need to convert the mixed number 4 1/3 to an improper fraction.

To do this, we multiply the whole number (4) by the denominator of the fraction (3), and then add the numerator (1). This gives us (4 * 3) + 1 = 13.

So, 4 1/3 can be written as the improper fraction 13/3.

Now we can write the ratio of 13/3 to 6 as a fraction.

The ratio of two numbers can be written as a fraction by placing the first number as the numerator and the second number as the denominator.

Therefore, the ratio of 4 1/3 to 6 is 13/3 : 6.

To simplify this ratio, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 13 and 3 is 1.

Dividing both the numerator and the denominator of the ratio by the GCD (which is 1) will give us the simplest form of the ratio.

13 ÷ 1 = 13
3 ÷ 1 = 3

So, the simplest form of the ratio 13/3 : 6 is 13 : 3.