Fractions study sheet
By: Pranjot and Kaia
Adding Fractions
Adding Mixed Numbers
Step 1: convert the mixed number into a improper fraction
4 2/5 = 22/5 ,1 6/8 = 14/8
Step 2: find the common denominator
5,10,15,20,25,30,35,40,
8,14,24,32,40
Step 3: Multiply the nominator with same number you used to find out the denominator
22x8 = 176/40 , 15x5=75/40
step 4: Add them
176/40 + 75/40 =251/40
Step 5: convert back into Mixed Numbers
6 11/40
Adding Improper Fractions
Step 1: find the lost common denominator
5,10
2,4,6,8,10
Step 2: Multiply the nominator by what you multiplied the denominator by
12x5 = 60/10 , 9x2 = 18/10
Step 3: Add them together
60/10 + 18/10 = 78/10
Step 4: Convert back into Mixed number
7 8/10
Adding Proper Fractions
Step 1: First find the common denominator
2,4,6,8,10,12,14,16,18
9,18
Step 2: multiply the nominator with the same number used to get the denominator
5x2= 10/18 ,9x1 = 9/18
Step 3: Add them
10/18 + 9/18 =19/18
Subtracting Fractions
Subtracting Mixed Numbers
Question: 3 2/3 - 2 1/6
Step 1: Convert the mixed number into an improper fraction.
3x3+2=11/3
6x2+1=13/6
Step 2: Find a common denominator.
3,6
6
Step 3: Multiply the numerator and the denominator by what it takes to get to the common denominator.
11x2=22/6
13/6 stays the same
Step 4: Subtract.
22/6 - 13/6= 9/6
Step 5: Convert your answer into a mixed number.
1 3/6 or 1 1/2
Subtracting Improper Fractions
Question: 11/8 - 6/5
Step 1: Find a common denominator.
8,16,24,32,40
5,10,15,20,25,30,35,40
Step 2: Multiply the numerator and the denominator by what it takes to get to the common denominator.
Denominator: 8x5=40 Numerator: 11x5=55, 55/40
Denominator: 5x8=40 Numerator: 6x8= 48, 48/40
Step 3: Subtract.
55/40 - 48/40= 7/40
Step 4: Simplify (if possible).
7/40
Subtracting Proper Fractions
Question: 5/7 - 9/10
Step 1: Find a common denominator.
7,14,21,28,35,42,49,56,63,70
10,20,30,40,50,60,70
Step 2: Multiply the numerator and the denominator by what it takes to get to the common denominator.
Denominator: 7x10=70 Numerator: 5x10=50, 50/70
Denominator: 10x7=70 Numerator: 9x7=63,63/70
Step 3: Subtract.
63/70 - 50/70= 13/70
Step 4: Simplify (if possible).
13/70
Improper
A improper fraction is when the numerator ( the top number) is bigger then the denominator ( the bottom number)