This fun remix talks about ratios and fractions. Hopefully your kids will have an easier time remembering this information when it’s put into a song!
For more help, check out our Introduction to Fractions Lessons Page
Credit goes to: TeacherTube
Ratios and Fractions – Differences and Similarities
Ratios and fractions are both mathematical concepts used to represent relationships between quantities. They share some similarities but also have distinct differences.
Similarities
1) Representation of Parts to Whole – Both ratios and fractions represent a part-to-whole relationship. They express how one quantity compares to another in terms of proportion or division of a whole.
2) Numerators and Denominators – Both ratios and fractions have numerators and denominators. In ratios, the numerator and denominator represent different quantities, while in fractions, they represent parts of a whole.
3) Can be Used to Compare Quantities – Ratios and fractions can both be used to compare quantities. They allow us to understand the relative sizes of different parts or quantities within a whole.
Differences
1) Notation – Ratios are typically expressed using the colon (:) or as a fraction, such as
2:3 or 2/3. Fractions, on the other hand, are always expressed using the fraction format, such as 2/3.
2) Whole Numbers vs. Real Numbers – Ratios can be composed of whole numbers, whereas fractions can represent any real number, including fractions and decimals.
3) Interpretation – Ratios often represent a comparison between two quantities, such as the ratio of boys to girls in a classroom. Fractions, however, are used to represent a part of a whole, such as 2/3 of a pizza.
4) Usage – Ratios are commonly used in various contexts, including finance, statistics, and everyday comparisons. Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.
In summary, while ratios and fractions both represent parts of a whole and are composed of numerators and denominators, they differ in notation, interpretation, and usage. Ratios are typically used for comparisons between quantities, while fractions represent parts of a whole and can be used in various mathematical operations.