Download Fraction Helper 4

RULER FRACTIONS
To add or subtract Ruler Fractions: (halves up to sixteenths)
• First, find the least common denominator (LCD….With ruler fractions this will always
be 4, 8 or 16)…
• Convert all fractions to fractions with the LCD…
• Add or subtract the numerators and use the LCD as the denominator…
• If your answer is an improper fraction, convert your answer to a mixed number (see
below). If your answer is a simple fraction, be sure to reduce (simplify) your answer
to its lowest terms…
HINT: With Ruler Fractions, if your numerator is an odd number, it can NOT be
reduced any further!!!
To add or subtract Mixed Numbers:
Convert the mixed numbers to improper fractions and follow the procedure above.
Always change your answer into a mixed number if your answer is an improper fraction.
To convert a Mixed Number into an Improper Fraction:
Multiply the denominator by the whole number and then add the numerator to your
answer and that becomes your new numerator over your old denominator.
To convert an improper fraction into a Mixed Number:
Divide the numerator by the denominator…This will give you a whole number and a
remainder… The remainder is your new numerator over your old denominator…
Reduce the fraction part of your mixed number if possible.
To find half of any Simple Fraction:
Double the denominator
To find half of any Mixed Number:
• Convert the mixed number into an improper fraction.
• Double the denominator.
• If your answer is an improper fraction, convert the new improper fraction into a
mixed number.
• If your answer is not an improper fraction just reduce (simplify).
Reducing Ruler Fractions....
You should always reduce fractions to their lowest terms.
Determine if the denominator can be divided by the numerator. Ex. A
Look for a number that can be divided into both the numerator and
denominator. ***In this lesson that number will be 2, 4 or 8 ONLY*** Ex. B
Example A...Reduce 2/8 into its lowest terms.
The number 2 goes into 2 (numerator) once and it goes into 8 (denominator)
four times….2/8 reduced to lowest terms equals ¼.
Example B...Reduce 6/16 into its lowest terms.
The number 2 goes into 6 (numerator) 3 times and it goes into 16
(denominator) 8 times….6/16 reduced to lowest terms equals 3/8.
***You may have to reduce twice to make sure that the fraction is in its lowest
terms…With Ruler Fractions, if the numerator is an even number it can be
reduced further…Keep Working!!!***
Reduce these fractions to the denominator listed:
4/8 into fourths (***also called quarters***)
6/8 into fourths
10/16 into eighths
12/16 into eighths
6/16 into eighths
4/16 into fourths
12/16 into fourths
8/16 into halves
14/16 into eighths
Converting Equivalent Fractions....
Many fraction operations require you to covert fractions to the highest
common denominator in order for you to complete the mathematical function.
Adding and subtracting fractions requires this step.
In order to change a fraction to one with a higher denominator, divide the
lower number denominator into the higher number denominator. Then
multiply that number times the numerator.
Ex…….Convert ½ into 4ths...
The problem becomes ½ = x/4
Divide 2 into 4 (denominators)
The answer is 2 (2 goes into 4 two times)
Multiply 2 times 1 (numerator)
The answer (x) is 2
½ = 2/4
Convert ½ into eighths (1/2 = x/8)
Convert ½ into sixteenths
Convert 1/4 into eighths
Convert 1/4 into sixteenths
Concert ¾ into eighths
Convert ¾ into sixteenths
Convert 1/8 into sixteenths
Convert 5/8 into sixteenths
Convert 3/8 into sixteenths
Convert 7/8 into sixteenths
Comparing Fractions (A)
Instructions: Use an inequality (< > =) sign or an equal sign to compare the
fractions shown below.
A.
3
4
12
16
B.
1
4
2
8
C.
2
16
2
8
D.
1
2
7
8
E.
3
4
1
2
F.
4
8
2
2
G.
5
16
1
4
H.
3
8
3
4
I.
13
16
3
4
J.
9
16
1
2
Reduce These Ruler Fractions….
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
= =
=
= =
=
=
Find These Equivalent Ruler Fractions….
=
=
=
=
=
=
=
=
=
=
Add or Subtract These Simple Ruler Fractions:
+
+
+
=
=
=
−
=
=
− =
+ =
+ =
−
+
+
+
=
=
=
+ =
+
− =
−
−
=
=
=
−
+ =
=
+
=
− =
− =
AddorSubtractTheseRulerMixedNumbers
1 + 1
3 + 3
+ 19
1
=
+ 10
5 + 2
=
=
22 + 14
2 + 2
5 + 11
=
2 +
4 + 1
=
= 78 + 26
=
= 13 + 2
3 + 1
=
2 +2
=
=
=
6 + 1
3 +1
=
=
=
=
17 + 15
3 +1
=
=
Convert These Mixed Numbers to Improper Fractions….
1 = 3 =
7 = 3
8 = 4
2
=
2 =
=
=
5 =
11 =
14 =
4 =
Convert These Improper Fractions To Mixed Numbers….
= = = = -
= = = = = = = = Fractions for the Construction Worker
1. A home remodeler needs three 2 x 10 shelves. One shelf measures
inches long, the second is
34 1 2
inches long, and the third is
62 3 4
45 516
inches long.
What is the shortest length 2 x 10 stock that she can buy for the three
shelves when allowing 3 8 inch for the three saw kerfs?
2. A carpenter saws a length of
inches in length. Allowing
3. A builder worked
4 12
1
8
66 516
inches off a board that measures 96
inch saw kerf, how much of the board remains?
hours on Monday,
7 34
hours on Tuesday, and
6 12
hours on Wednesday to complete a job. How many hours did it take to finish
the job?
4. A piece of hard maple measures
13 3 4
44 916
inches long. A piece that measures
inches is cut from this board. How much of the piece remains when
allowing for a
1
8
inch saw kerf?