Fractions And Decimals Flashcards
What are the 5 meanings of fractions?
1) proportion of a unit
2) point on a number line
3) proportion of a set
4) representing a division
5) representing a ratio
What is a rational number?
Numbers that can be written as fractions
What is an irrational number?
A number that cannot be written as a fraction
- pi
What equivalent fractions?
When they represent the same number or quality
What is a percentage
A type of ratio used to make comparisons
What is a viniculum?
Line that represents division in a fraction
What are like fractions?
Fractions with the same denominators
What is the most common method for comparisons
Percentage
What are the three meanings of fractions?
1) part whole
2) quotient
3) ratio
What is the part-whole meaning of fractions?
Fraction represents part of the whole
Eg 3/5
What is the quotient meaning of fractions?
Where a quantity is being shared or divided
What is the ratio meaning of fractions
Where a set is composed of two or more component parts
Eg class has 3 boys 5 girls
What is a mixed number?
Numbers that consist of a whole number part and a fractional part
Eg 2 1/5
What is an improper fraction?
Fractions where the numerator is larger than the denominator
Eg 9/4
How do you convert a mixed fraction into an improper fraction?
Multiple the whole number by the denominator and then add the numerator. Place the answer over the original denominator
Eg 2 1/3 = 2x3=6+1=7
= 7/3
How do you convert an improper fraction to a mixed fraction?
Divide the numerator by the denominator. Whole number is the new whole number and remainder is the numerator
9/5 = 1.8 = 1 8/5
Unlike fractions must be written with what before they can be added or subtracted?
Common denominator
Mixed fractions must be converted to what before they can be multiplied?
Improper fractions
What underpins the fraction concept?
Objects and collections can be partitioned
What is a ratio?
A set of numbers, separated by colons, written in a certain order to describe the relationship between two or more groups
A ratio can only be directly converted to a fraction when?
Two numbers are related in a part to whole relationship
If it is a comparative part to part relationship then?
The first part can be considered a fraction of the second part
