37.0k views
3 votes
Write the ratio
3/5 to 9 as a fraction in simplest form.

2 Answers

2 votes

Final answer:

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.

User Yog Guru
by
8.0k points
1 vote

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.

User AuxTaco
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories