Adding Mixed Numbers With Unlike Denominators
Mixed Numbers Mixed numbers are whole numbers and fractions together. 1 3 2
Shortcut for finding a common denominator 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. 1 3 2 will divide evenly into 8, so 8 is your LCD or LCM. 2 1 1 + 8
To Add Fractions Mixed Numbers With Unlike Denominators Find the multiples of each denominator. 1 3 4 = 4, 8, 12, 16, 20, 30 1 1 + 10 = 10, 20, 30, 40, 50
To Add Mixed Fractions With Unlike Denominators Compare the lists of multiples. Circle the common multiples between the two lists. 1 3 4 = 4, 8, 12, 16, 20, 24 1 1 + = 10, 20, 30, 40, 50 10
To Add Mixed Fractions With Unlike Denominators Use the least common multiple as the denominator. 1 3 4 = 4, 8, 12, 16, 20, 24 1 1 + = 10, 20, 30, 40, 50 10
To Add Mixed Fractions With Unlike Denominators Find the equivalent fractions with 20 as the denominator. What you multiply 4 by to get 20? 1 3 4 20 x 5 = 1 1 + 10 20
To Add Mixed Fractions With Unlike Denominators Find the equivalent fractions with 20 as the denominator. Since you are looking for equivalent fractions, multiply the numerator by 5 as well. 1 3 x 5 = 4 20 x 5 = 1 1 + 10 20
To Add Mixed Fractions With Unlike Denominators Find the equivalent fractions with 20 as the denominator. 1 5 Multiply Across! 3 x 5 = 4 20 x 5 = 1 1 + 10 20
To Add Mixed Fractions With Unlike Denominators Find the equivalent fractions with 20 as the denominator. 1 5 x 5 = What you multiply the 10 by to get 20? 3 4 20 x 5 = 1 1 + 10 20 x 2 =
To Add Mixed Fractions With Unlike Denominators Find the equivalent fractions with 20 as the denominator. Since you are looking for equivalent fractions, multiply the numerator by 2 as well. 1 5 x 5 = 3 4 20 x 5 = 1 2 x 2 = 1 + 10 20 x 2 =
To Add Mixed Fractions With Unlike Denominators Now just add the numerators. 1 5 3 x 5 = 4 20 x 5 = Remember! Never add the denominators. 1 2 x 2 = 1 + 10 20 x 2 = 7 20
To Add Mixed Fractions With Unlike Denominators Now add the whole numbers. 1 5 3 x 5 = 4 20 x 5 = 1 2 x 2 = 1 + 10 20 x 2 = 7 4 20
Add These Mixed Numbers Use the short cut to find the Least Common Denominator (LCD). 1 10 3 6 1 + 3 6 6
Add These Mixed Numbers Now find the equivalent fractions. 1 10 3 6 x 2 = 1 + 3 6 6 x 1 = What do you multiply 3 by to get 6 and what do you multiply 6 by to get 6?
Add These Mixed Numbers Since you are writing equivalent fractions, now multiply the top numbers by the same number you did in the bottom. 1 2 x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 6 x 1 =
Add These Mixed Numbers 1 2 Add your new numerators. x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 6 x 1 = 3 6
Add These Mixed Numbers Add your whole numbers. 1 2 x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 6 x 1 = 3 ÷ 3 1 13 13 = 6 ÷ 3 2 Simplify!!
Add These Mixed Numbers Find the least common multiple for 5 and 3. Write this number as your new denominator. 4 11 5 15 1 2 + 3 15
Add These Mixed Numbers Ask yourself what you multiply the bottom number by to get 15. 4 11 5 15 x 3 = 1 2 + 3 15 x 5 =
Add These Mixed Numbers Multiply the top number by the same number you did in the bottom. 12 4 11 x 3 = 5 15 x 3 = 1 5 x 5 = 2 + 3 15 x 5 =
Add These Mixed Numbers Now add your new numerators. 4 12 x 3 = 11 5 15 x 3 = 1 5 x 5 = 2 + 3 15 x 5 = 17 15
Change Your Improper Fraction to a Mixed Number 2 1 4 12 x 3 = 11 15 5 15 x 3 = 15) 17 1 5 x 5 = 2 15 + 3 x 5 = 15 2 17 15
Add Your 1 to Your Whole Numbers 2 1 1 4 12 x 3 = 11 15 5 15 x 3 = 15) 17 1 5 x 5 = 2 15 + 3 x 5 = 15 2 17 14 15
Put Your Remainder Fraction Next to Your Answer 2 1 1 4 12 x 3 = 11 15 5 15 x 3 = 15) 17 1 5 x 5 = 2 15 + 3 15 x 5 = 2 2 17 14 15 15
Add These Mixed Numbers 1 11 1 5 20 24 x 4 = 24 6 24 x 4 = 24) 35 5 15 3 x 3 = 24 + 8 24 x 3 = 11 11 35 28 24 24