Fraction XII Subtracting Unlike Denominators By Monica Yuskaitis

Common Multiple:

Common Multiple A number that is a multiple of two or more numbers. Some multiples of 4 andamp; 6
12, 24, 36

Least Common Multiple:

Least Common Multiple The smallest common multiple of a set of two or more numbers. 6 = 6, 12, 18, 24, 30, 36 8 = 8, 16, 24, 32, 40, 48

Shortcut for Finding the Least Common Denominator or Least Common Multiple:

Shortcut for Finding the Least Common Denominator or Least Common Multiple 1 3 1 9 - 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. 3 will divide evenly into 9,
so 9 is your LCD or LCM.

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Find the multiples of each denominator. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 - 5 10

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Compare the lists of multiples. Circle the common multiples between the two lists. 1 5 = 5, 10, 15, 20, 25, 30 1 10 = 10, 20, 30, 40, 50 -

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Use the lowest common multiple as the denominator. 1 5 = 5, 10, 15 ,20 ,25 ,30 1 10 = 10, 20, 30, 40, 50 -

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators This number is also called the least common denominator. 1 5 = 5, 10, 15 ,20 ,25 ,30 1 10 = 10, 20, 30, 40, 50 -

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Rewrite the fractions using the least common denominator or least common multiple. 1 5 1 10 - 10 10

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Find the equivalent fractions for 1/5 andamp; 1/10 with 10 as the denominator. 1 5 1 10 - 10 10 You know that 1/10
is equal to 1/10 so
Put a 1 over the
Bottom 10. 1

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Find the equivalent fractions for 1/5 andamp; 1/10 with 10 as the denominator. 1 5 1 10 - 10 10 To find the top
number, ask yourself
what do you multiply
the 5 by to get 10. 1

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Find the equivalent fractions for 1/5 andamp; 1/10 with 10 as the denominator. 1 5 1 10 - 10 10 That’s right 2. Since
you are looking for
the equivalent fraction
you know the top
number must also be
multiplied by 2. 1 x 2 = x 2 =

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Find the equivalent fractions for 1/5 andamp; 1/10 with 10 as the denominator. 1 5 1 10 - 10 10 To find the top number
just multiply 2 x 1 to
get your equivalent
fraction. 1 x 2 = x 2 = 2

To Subtract Fractions With Unlike Denominators:

To Subtract Fractions With Unlike Denominators Now just add the numerators. 1 5 1 10 - 10 10 Remember when
subtracting fractions you never subtract the denominators. 1 x 2 = x 2 = 2 10 1

Subtract these Fractions:

Subtract these Fractions 1 2 1 8 - Use the short
cut to find the
Least Common
Denominator
(LCD). 8 8

Subtract these Fractions:

Subtract these Fractions 1 2 1 8 - Now find the
equivalent
fractions for
1/2 andamp; 1/8. 8 8 x 1 = x 4 = Ask what do you multiply 2 by to get 8
and what do you multiply 8 by to get 8.

Subtract these Fractions:

Subtract these Fractions 1 2 1 8 - Since you are
writing equivalent
fractions, now
multiply the top
numbers by the
same number you
did in the
bottom. 8 8 x 1 = x 4 = x 1 = x 4 =

Subtract these Fractions:

Subtract these Fractions 1 2 1 8 - Now multiply
across. 8 8 x 1 = x 4 = x 1 = x 4 = 1 4

Subtract these Fractions:

Subtract these Fractions 1 2 1 8 - Subtract
your new
numerators. 8 8 x 1 = x 4 = x 1 = x 4 = 1 4 3 8

Subtract these Fractions:

Subtract these Fractions 2 5 1 3 - Find the
common
Multiples for
5 and 3. Write
This number
As your new
denominator. 15 15

Subtract these Fractions:

Subtract these Fractions 2 5 1 3 - Ask yourself
what you
multiply the
bottom number
by to get 15. 15 15 x 5 = x 3 =

Subtract these Fractions:

Subtract these Fractions 2 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 =

Subtract these Fractions:

Subtract these Fractions 2 5 1 3 - Multiply
across. 15 15 x 5 = x 3 = x 5 = x 3 = 5 6

Subtract these Fractions:

Subtract these Fractions 2 5 1 3 - Now subtract
your new
numerators. 15 15 x 5 = x 3 = x 5 = x 3 = 5 6 1 15

Subtract these Fractions:

Subtract these Fractions 5 6 1 8 - 24 24 x 3 = x 4 = x 3 = x 4 = 3 20 17 24

Subtract these Fractions:

Subtract these Fractions 2 3 1 9 - 9 9 x 1 = x 3 = x 1 = x 3 = 1 6 5 9

Subtract these Fractions:

Subtract these Fractions 4 5 2 3 - 15 15 x 5 = x 3 = x 5 = x 3 = 10 12 2 15

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