Will someone please show me how to do this problem. I have to write this ratios in simplest form.

The ratio of 5 3/5 to 2 1/10.

Change each of your mixed fractions to an improper fraction, then divide the first by the second.
Remember to divide fraction #1 by fraction #2, you multiply fraction #1 by the reciprocal of fraction #2.
You should get 8/3

12/7 .......i think

its 11/3

but u just have to explain the work.

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Sure! To write the ratio of 5 3/5 to 2 1/10 in simplest form, follow these steps:

Step 1: Convert the mixed fractions into improper fractions.
To convert 5 3/5 to an improper fraction, multiply the whole number (5) by the denominator (5), and add the numerator (3). This gives you 28/5.

To convert 2 1/10 to an improper fraction, multiply the whole number (2) by the denominator (10), and add the numerator (1). This gives you 21/10.

Step 2: Divide the first fraction by the second fraction.
To divide 28/5 by 21/10, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by switching the numerator and denominator.

Reciprocal of 21/10 = 10/21

Now, multiply 28/5 by 10/21:

(28/5) * (10/21) = (28 * 10) / (5 * 21) = 280 / 105

Step 3: Simplify the fraction.
To simplify the fraction 280/105, find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 35.

Divide the numerator (280) and denominator (105) by the GCD (35):

280 / 35 = 8
105 / 35 = 3

So, the simplified ratio of 5 3/5 to 2 1/10 is 8/3.