# How to Simplify Ratios | Summary and Q&A

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July 15, 2016
by
tecmath
How to Simplify Ratios

## TL;DR

Learn the simple technique to simplify ratios by reducing them to their lowest terms.

## Questions & Answers

### Q: What is a ratio and how is it written?

A ratio is a way of comparing two different quantities and is generally written as one number compared to another number. For example, 40 Parts petrol to 1 part oil would be written as 40:1.

### Q: How can ratios be simplified?

Ratios can be simplified by dividing or multiplying the numbers in the ratio to get equivalent ratios. For example, if the ratio is 80:2, you can multiply both numbers by 2 to get the ratio 160:4.

### Q: How do you simplify a decimal ratio?

To simplify a decimal ratio, first, get rid of the decimal by multiplying both numbers by a power of 10. Then, reduce the ratio to its lowest terms. For example, if the ratio is 2.1:0.3, multiply both numbers by 10 to get the ratio 21:3. This can be further reduced to 7:1.

### Q: What should be done when the units in the ratio are different?

If the units are different, convert them to the same unit to compare. For example, if the ratio is 60 cm to 1.8 m, convert 1.8 m to cm by multiplying it by 100. The ratio becomes 60:180, which can be simplified to 1:3.

## Summary & Key Takeaways

• Ratios are a way of comparing two or more quantities.

• Ratios can be simplified by dividing or multiplying the numbers in the ratio to get equivalent ratios.

• To simplify ratios, find a number that divides into both numbers in the ratio and reduce it to its lowest terms.

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