Question

Write the ratio
3/5 to 9 as a fraction in simplest form.

Answer 1

To write the ratio 3/5 to 9 as a fraction, we express 9 as a fraction (9/1) and write it as (3/5)/(9/1), which simplifies to 3/45 and further to 1/15 after dividing by the greatest common divisor.

Step-by-step explanation:

The question asks us to write the ratio 3/5 to 9 as a fraction in simplest form. To do this, we should first express the number 9 as a fraction with a denominator of 1, which gives us 9/1. We then write the two ratios as a fraction. So, 3/5 to 9 becomes 3/5 to 9/1.

Now, to combine these into a single ratio, we will have a fraction where 3/5 is the numerator and 9/1 is the denominator. This is written as (3/5)/(9/1). To simplify this, we multiply the numerator and denominator by the reciprocal of the denominator. This gives us (3/5) × (1/9) = 3/(5× 9), which simplifies to 3/45. This can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3, thus giving us 1/15.

Answer 2

Answer:1/10

Step-by-step explanation:

To convert a ratio to a fraction, you divide the number on the left by the number on the right. This gets you (3/5)/6. When dividing fractions by whole numbers, you need to convert the whole number to a fraction. I converted 6 to 6/1, so that gave me (3/5)/(6/1). You then multiply the top number by the bottom number to get the numerator of the answer, and the middle 2 numbers multiplied is the denominator. The answer is (3x1)/(5x6), or 3/30, which can be simplified to 1/10.