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# Simplifying Ratios Calculator

**Simplifying ratios** means reducing ratios to their simplest form. A ratio is in its simplest form if its antecedent and consequent have no common factors other than 1.

## What is a Simplifying Ratios Calculator?

A 'Simplifying Ratios Calculator' is a free online tool that reduces a ratio to its simplest form. In this calculator, you can enter a ratio and find its simplest form within a few seconds.

### Simplifying Ratios Calculator

**NOTE:** Enter the values up to two digits only.

## How to Use Simplifying Ratios Calculator?

Follow the steps given below to use the calculator:

**Step 1:**Enter the values of the antecedent (a) and consequent (b) in the space provided.**Step 2:**Click on**"Convert"**.**Step 4:**Click on**"Reset"**to clear the field and enter the new ratio

## How to do Simplifying Ratios?

To simplify ratios, write the fraction of the antecedent and consequent with antecedent as the numerator and the later one as the denominator.

Mark the common factors in them and divide the numerator and denominator by the highest common factor.

The ratio thus obtained is in its simplest form.

**Solved Examples on Simplifying Ratios Calculator**

**Example 1:**

What is the simplest form of the ratio 30 **:** 45?

**Solution:**

The factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 = 1, 3, 5, 6, 9,15, 45

So, the highest common factor of 30 and 45 is 15

Now, dividing 30 and 45 by 15, we get 2 and 3 respectively.

So, the simplified form of 30 **: **45 is 2 **: **3

**Example 2:**

What is the simplest form of the ratio 10 **:** 20?

**Solution:**

The factors of 10 = 1, 2, 5,10

The factors of 20 = 1, 2, 5, 4, 10, 20

So, the highest common factor of 10 and 20 is 10

Now, dividing 10 and 20 by 10, we get 1 and 2 respectively.

So, the simplified form of 10 **: **20 is 1 **: **2

**Example 3:**

What is the simplest form of the ratio 15 **:** 45?

**Solution:**

The factors of 15 = 1, 3, 5, 15

The factors of 45 = 1, 3, 5, 6, 9,15, 45

So, the highest common factor of 15 and 45 is 15

Now, dividing 15 and 45 by 15, we get 1 and 3 respectively.

So, the simplified form of 15 **: **45 is 1 **: **3

Similarly, you can try the simplifying ratios calculator and find the following:

- 33/63
- 45/99

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