Fraction XIAdding Mixed Numbers With Unlike Denominators: Fraction XI Adding Mixed Numbers With Unlike Denominators By Monica Yuskaitis
Common Multiple: Common Multiple A number that is a multiple of two or more numbers. Some multiples of 3 andamp; 4
12, 24, 36, 48,
Least Common Multiple: Least Common Multiple The smallest common multiple of a set of two or more numbers. 5 = 5, 10, 15, 20, 25, 30 4 = 4, 8, 12, 16, 20, 24, 28
Mixed Numbers: Mixed Numbers Mixed numbers are whole numbers and fractions together. 1 2 3
Shortcut for Finding the Least Common Denominator or Least Common Multiple: Shortcut for Finding the Least Common Denominator or Least Common Multiple 1 2 1 8 + Check to see if the smaller denominator
divides evenly into the larger denominator.
If it does, use the larger denominator for
your LCD or LCM. 2 will divide evenly into 8,
so 8 is your LCD or LCM. 3 1
To Add Fractions Mixed Numbers With Unlike Denominators: To Add Fractions Mixed Numbers With Unlike Denominators Find the multiples of each denominator. 1 = 4, 8, 12, 16, 20, 30 1 = 10, 20, 30, 40, 50 + 4 10 3 1
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators Compare the lists of multiples. Circle the common multiples between the two lists. 1 = 4, 8, 12, 16, 20, 24 1 = 10, 20, 30, 40, 50 + 10 3 1 4
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 = 4, 8, 12, 16, 20, 24 1 = 10, 20, 30, 40, 50 + 10 3 1 4 Use the least common
multiple as the denominator.
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 = 4, 8, 12, 16, 20, 24 1 = 10, 20, 30, 40, 50 + 10 3 1 4 This number is also called
the least common denominator.
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Find the equivalent fractions for 1/4 andamp; 1/10 with 20 as the denominator. Ask yourself what
you multiply 4 by
to get 20. x 5 =
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Find the equivalent fractions for 1/4 andamp; 1/10 with 20 as the denominator. x 5 = That’s right 5. Since
you are looking for
the equivalent fraction
you know the top
number must also be
multiplied by 5. x 5 =
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Find the equivalent fractions for 1/4 andamp; 1/10 with 20 as the denominator. x 5 = x 5 = To find the top number
just multiply 1 x 5 to
get your equivalent
fraction. 5
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Find the equivalent fractions for 1/4 andamp; 1/10 with 20 as the denominator. x 5 = x 5 = Now ask what you
multiply the 10 by
to get 20. 5 x 2 =
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Find the equivalent fractions for 1/4 andamp; 1/10 with 20 as the denominator. x 5 = x 5 = 5 x 2 =
That’s right 2. Since you are looking for the equivalent fraction you know the top number must also be multiplied by 2. x 2 = 2
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Now just add the numerators. x 5 = x 5 = 5 x 2 =
Remember! We never add the denominators. x 2 = 2 7 20
To Add Mixed Fractions With Unlike Denominators: To Add Mixed Fractions With Unlike Denominators 1 1 + 10 3 1 4 20 20 Now add the whole numbers. x 5 = x 5 = 5 x 2 =
x 2 = 2 7 20 4
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Use the short
cut to find the
Least Common
Denominator
(LCD). 6 6 10 3
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Now find the
equivalent
fractions for
1/3 andamp; 1/6. 6 6 x 1 = x 2 = Ask what do you multiply 3 by to get 6
and what do you multiply 6 by to get 6. 10 3
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Since you are
writing equivalent
fractions, now
multiply the top
numbers by the
same number you
did in the
bottom. 6 6 x 1 = x 2 = x 1 = x 2 = 10 3
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Now multiply
across. 6 6 x 1 = x 2 = x 1 = x 2 = 1 2 10 3
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Add your
new
numerators. 6 6 x 1 = x 2 = x 1 = x 2 = 1 2 3 6 3 10
Add These Mixed Numbers: Add These Mixed Numbers 1 3 1 6 + Add your
whole
numbers. 6 6 x 1 = x 2 = x 1 = x 2 = 1 2 3 6 3 10 13
Simplify Your Answer: Simplify Your Answer 3 6 13 3 3 = 13 1 2 ÷ ÷
Add These Mixed Numbers: Add These Mixed Numbers 4 5 1 3 + Find the
common
multiples for
5 and 3. Write
this number
as your new
denominator. 15 15 11 2
Add These Mixed Numbers: Add These Mixed Numbers 4 5 1 3 + Ask yourself
what you
multiply the
bottom number
by to get 15. 15 15 x 5 = x 3 = 11 2
Add These Mixed Numbers: Add These Mixed Numbers 4 5 1 3 + Multiply the
top number
by the same
number you
did in the
bottom. 15 15 x 5 = x 3 = x 5 = x 3 = 2
11
Add These Mixed Numbers: Add These Mixed Numbers 4 5 1 3 + Multiply
across. 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 11 2
Add These Mixed Numbers: Add These Mixed Numbers 4 5 1 3 + Now add
your new
numerators. 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 17 15 11 2
Change Your Improper Fractionto a Mixed Number: Change Your Improper Fraction to a Mixed Number 4 5 1 3 + 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 17 15 11 2 15)
17
1
15 2 2 15
Add Your 1 to Your Whole Numbers: Add Your 1 to Your Whole Numbers 4 5 1 3 + 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 17 15 11 2 15)
17
1
15 2 2 15 1 14
Put Your Remainder FractionNext to Your Answer: Put Your Remainder Fraction Next to Your Answer 4 5 1 3 + 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 17 15 11 2 15)
17
1
15 2 2 15 1 14 2 15
Your Final Answer Is 14 2/15: Your Final Answer Is 14 2/15 4 5 1 3 + 15 15 x 5 = x 3 = x 5 = x 3 = 5 12 17 15 11 2 15)
17
1
15 2 2 15 1 14 2 15
Add These Mixed Numbers: Add These Mixed Numbers 5 6 5 8 + 24 24 x 3 = x 4 = x 3 = x 4 = 15 20 35 24 24 3 24)
35
1
11 11 24 24 1 28
11 24