Using objects to visualise fractions
Start with concrete items, like food or counters – you can use pasta pieces or dried beans in place of counters – then draw them as pictures. Once you’ve got this down, you can move onto using rational numbers (the fancy name for fractions) to represent them.
A fraction is a number that is used to represent a whole number that has been divided into equal parts.
Proficiency with fractions is an important foundation for learning more advanced mathematics. Fractions are a student’s first introduction to abstraction in mathematics and, as such, provide the best introduction to algebra in the elementary and middle school years.
Many kids fear fractions because they don’t understand how they work – they mix up the parts and don’t understand what they mean and what we do to them. … They have perceived fractions as being too hard for them before even having the chance to try.
Answer: 0.35 as a fraction is 7/20.
The biggest reason fractions are so difficult is because each fraction with a different denominator is in an entirely different number system! In a fraction, the denominator tells you what base you’re in. … But even these number are related to our basic “Base 10” numbers. Think about the most common fraction: 1/2.
Because currency is divided into fractions, any job that uses money uses fractions. Anyone who calculates tax, like a cashier, is using fractions. Less trivial examples include any engineering job, many health-related and business jobs, and all science jobs.
Before students begin to write fractions, they need multiple experiences breaking apart a whole set into equal parts and building a whole with equal parts. Next, they’re ready to connect to the standard numerical representation, the fraction. … Explain that the first or top number in a fraction is called the numerator.
The problem lies in the changing meaning of vulgar. It comes from the Latin adjective vulgaris that derives from vulgus, the common people. … A vulgar fraction is one based on ordinary or everyday arithmetic as opposed to these highfalutin decimal things, which were at first called decimal fractions.
A fraction is called a proper fraction when the numerator is smaller than the denominator. Examples are: ⅓, ⅔, ⅖, 3/7, 5/9, etc.