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Transcript
Fraction Study Guide
**page numbers refer to our blue math book
Three ways to represent fractions.
Set – page 502
All of the objects in a group represent one whole set. Some of the objects are part of that whole. Example:
There are 10 pieces of fruit (the whole) 7 (the part) out of 10 pieces of fruit are apples and the rest are pears.
Region – page 500
Use pictures to represent the whole (a rectangle) and then divide it into equal parts. Shade the part that will
represent the fraction.
Number Line -page 504
Fractions name parts of a length. Units of length or whole units on a number line can be used as another model
for fractions.
Estimate fractional parts – page 508
Equivalent Fractions – page 516
Simplest Form – page 520
Comparing and Ordering Fractions–
page 522 - 524
Cross Multiply
Mixed Number to Improper – page
530
Knowing the “Benchmark” fractions 1/4, 1/3, 1/2, 2/3, and 3/4 to
estimate other fractions.
Multiply or divide the numerator and the denominator by the
same number. What you do to the top, you also do to the bottom.
http://www.mathsisfun.com/equivalent_fractions.html
1. Find the greatest common factor for both the numerator
and the denominator.
2. Divide both the top and bottom number by the GCF.
http://www.mathsisfun.com/simplifying-fractions.html
1. When the denominators are the same, compare the
numerators.
2. Strategy: Use number sense to estimate their placement
on the number line using the benchmark fractions as a
guide.
3. Strategy: When the denominators are different, find a
common denominator for the fractions by using equivalent
fractions (this is the strategy to master because you will
use it in other grades). Compare using <, >, or =. You can
also use this strategy for ordering fractions.
http://www.mathplayground.com/howto_comparefractions.html
Multiply the denominator of the first fraction with the numerator
of the second fraction. Write the answer above the numerator.
Multiply the denominator of the second fraction with the
numerator of the first fraction. Write the answer above the
numerator. Compare the numbers and circle the one that is larger.
Write <, >, or = between the two fractions.
http://www.mathplayground.com/fractions_compare.html
http://www.dummies.com/how-to/content/how-to-crossmultiplytwo-fractions.html
Multiply the denominator by the whole number and then add the
numerator. Write the sum as the numerator and keep the same
denominator.
http://www.mathplayground.com/fractions_mixed.html
http://www.xpmath.com/forums/arcade.php?do=play&gameid=37
Improper to Mixed Number – page
530
Comparing Mixed Numbers – page
534
Finding a fractional amount
Adding/ Subtract with like
denominators – page 564, 575
Divide the numerator by the denominator, write the quotient
(answer) as the whole number, and write the remainder as the
numerator. The denominator stays the same.
http://www.mathplayground.com/fractions_improper.html
1. Look at the whole numbers first to see which is larger.
2. When the whole numbers are the same, you must find a
common denominator for the fractions. Make
denominators the same using equivalent fractions .
Compare the numerators. Write <, >, or = between the two
fractions.
1. Divide the whole number by denominator. This is your
quotient (the answer).
2. Multiply the quotient (your answer) by the numerator.
http://www.mathplayground.com/fractions_fractionof.html
Add or subtract the numerators. Write the answer as the new
numerator and keep the same denominator. If it is an improper
fraction, rewrite it as a mixed number. In some cases, you may
need to simplify the fraction to the lowest form, so don’t forget to
check.