Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas. Algebra is for upper primary/lower secondary level school students. There are 13 modules and 120 lesson topics.
Module 1: Converting Ratios to Fractions
Welcome to Converting Ratios to Fractions!
In this lesson, we’ll explore how to take a ratio and express it as a fraction in its simplest form. Ratios are a great way to compare quantities, but writing them as fractions helps us see their relationship more clearly and use them in calculations.
Is a comparison of two quantities by division.
If a gallon of paint contains 2 parts red pain and 4 parts white paint, then the ratio comparing the red paint to the white paint can be written as follows.
2 to 4 2:4
Is a ratio of two quantities having different kinds of units.
Miles and hours are different kind of units | Dollars and pounds are different kinds of units |
65 miles in 3 hours | $16 for 2 pounds |
When a rate is simplified so that it has a denominator of 1, it is called a unit rate.
An example of a unit rate is 35 THB per $1 US Dollar.
Let's Try to Write Ratios in Simplest Form
Express the ratio 10 roses out of 12 flowers as a fraction in simplest form.
Divide the numerator and denominator by the GCF, 2.
The ratio of roses to flowers is 5 to 6. This means that for every 6 flowers, 5 of them are roses.
Answer: 
Let's Try to Write Ratios as Fractions
Express the ratio 21 inches to 2 yards as a fraction in simplest form.
Convert 2 yards to inches.
Divide the numerator and denominator by the GCF, 3.
Written in simplest form, the ratio is 7 to 24
Answer:
Mastering Ratios: How to Write Ratios as Fractions in Simplest Form!
In today’s lesson, we’re diving into the world of ratios and discovering how to turn them into fractions in their simplest form. Ratios are all around us, helping us compare quantities in recipes, maps, and even sports stats! But to make ratios easy to work with, we need to convert them into fractions—and simplify them.
Discover the World of Math with Engaging Lessons!
Our math lessons are designed to make learning enjoyable and effective. From mastering the basics to exploring advanced topics, each lesson guides you step-by-step through essential concepts. You’ll tackle real-world problems, learn new skills, and gain confidence as you progress.
Whether it’s algebra, geometry, or pre-calculus, our lessons are crafted to support every learner at their own pace. Start today, and see how math can open up a world of possibilities!
