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A comprehensive guide on fractions, including definitions, simplification, comparison, and ordering. Learn about the concept of numerator and denominator, simplest form, equivalent fractions, and adding and subtracting fractions. Find examples and answers to help you master the topic.
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Fraction- a number that names a part of a whole numerator- the part or top number in a fraction denominator- the bottom or the total number in a fraction
Mixed Number - a number that is made up of a whole number and a fraction
Improper Fraction - a number/fraction in which the numerator is larger than the denominator
Simplest form- the form of a fraction in which the numerator and denominator have only 1 as their common factor
Equivalent fractions- fractions that name the same amount or part
COMPARING AND ORDERING
When comparing only 2 fractions…
When you have only two fractions to be compared, you can cross multiply on an upward diagonal. When doing this, write your answer above the diagonal (two numbers you are multiplying). Then you can compare the two products to determine the larger fraction.
Comparing and Ordering
To REDUCE or simplify…
If a fraction is in simplest form, then the only common factor between the numerator and the denominator is 1
ADDING AND
SUBTRACTING FRACTIONS
There are 3 Simple Steps to add /subtract fractions : Step 1: Make sure the bottom numbers (the denominators) are the same. If not- make them the same (make equivalent fractions)
Step 2: Add/Subtract the top numbers (the numerators), put the answer over the denominator.
Step 3: Simplify the fraction (if needed)
EXAMPLES FOR YOU TO TRY:
ANSWERS:
Adding and Subtracting
Mixed Numbers:
Whole numbers & fractions… Improper fractions
To make a MIXED NUMBER into
an IMPROPER FRACTION…
To change a mixed number into an improper fraction: