Learn Fraction XI

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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