Step 1: find the common denominator to make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. The least common denominator for this problem is + 5 4 3 2 3 4 4: 4, 8, 12, 16, 20... 3: 3, 6, 9, 12, 15.... continue Step 2 you make new equivalent fractions with the common denominator. multiply the fraction 2/3 by 4 multiply the fraction 3/4 by 3 + 5 4 3 2 3 4 x 4 x 3 x 4 x 3 = = 5 4 12 12 8 9 We have our new mixed numbers continue Step 3 is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 9 5 4 12 12 12 9 8 This is an improper fraction so we need to simplify it. Divide the bottom into the top. continue add 8 + 9 Divide 12 into 17 and it goes 1 time (12/12) with 5 left over. ADD that whole number 1to the whole number 9 which equals 10. Then what is left over? 9 5 4 17 12 12 12 9 8 = Keep working hard! 9 9 + 1 makes the 10. +1 12) 17 -12 5 1 5 12 = 10 12 New Problem:step1 is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. The least common denominator for this problem is + 3 2 6 1 2 7 2: 2, 4, 6, 8, 10, 12, 14... 7: 7, 14, 21, 28, 35... continue Step2 make new equivalent fractions with the common denominator. + 3 2 6 1 2 7 x 7 x 7 x 2 x 2 = = 5 4 14 14 7 What number belongs in the box? continue Step 3 add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominator. + 5 3 2 14 14 14 12 7 What number belongs in the box? continue Step4: Divide 14 into 19 and get 1(14/14) and 5 left over. Add thewhole number 1 to the whole number 5. Then write thefraction. + 5 3 2 19 14 14 14 12 7 = 5 Improper fraction 19/14 with a whole number 5 + 14 14 + 5 14 = 6 What number belongs in the box? 14 New Problem: step 1 is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. The least common denominator for this problem is + 6 2 4 2 3 5 5: 5, 10, 15, 20... 3: 3, 6, 9, 12, 15.... Next, make new equivalent fractions with the common denominator. Fill in the blank. + 6 2 4 2 3 5 x 5 x 5 x 3 x 3 = = 6 2 15 15 10 continue The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. + 8 6 2 15 15 15 12 10 continue Last step. We have to change the improper fraction to a mixed number.Divide 15 into 22 = 1 and we have 7 left over. + 8 6 2 22 15 12 15 10 15 = 8 This equals one + 15 15 + 7 15 = What number belongs in the box? 9 15 The least common denominator for this problem is New Problem. Find the least common denominator. + 2 5 3 4 5 4 4: 4, 8, 12, 16, 20... 5: 5, 10, 15, 20... continue Make new equivalent fractions with the common denominator. + 2 5 3 4 5 4 x 4 x 4 x 5 x 5 = = 2 5 20 20 16 You're doing Grrrreat! The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. + 7 2 5 20 20 20 15 16 Fill in the box continue Last step. Change the improper fraction to a mixed number. 31 divided by 20 gives us 1 whole(20/20) and what left over as a remainder? 7 2 5 31 20 15 20 16 20 = 7 This equals one + 20 20 + 11 20 = 8 20 New Problem. Find the common denominator. Fill in the box. The least common denominator for this problem is + 6 3 12 7 2 3 Next, make new equivalent fractions with the common denominator. + 6 3 12 7 2 3 x 4 = x 4 = = = 6 3 12 12 8 ~great job~ continue The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 9 6 3 12 12 12 7 8 Last step. Check for simplest form (which this one is NOT) Divide 12 into 15. We get 1 whole and remainder 3 9 6 3 12 15 12 12 7 8 = 10 12 3 = Simplify we can divide the numerator and denominator by 3! 10 4 Now you try. Work it out on paper, then fill in the blank with the correct number. + 10 6 3 18 5 6 8 9 Work it out on your paper. Then fill in the blank correctly. + 10 7 2 30 5 6 4 5 You can do it! Work it out on your paper. Then fill in the blank correctly. + 8 6 1 10 2 7 4 5 You can do it:) Work it out on your paper. Then fill in the blank correctly. + 6 3 1 9 8 9 Work it out on your paper. Then fill in the blanks correctly. + 2 3 5 6 8 9 Subtract mixed fractions with the same steps! find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of each denominator The least common denominator for this problem is - 5 2 1 5 7 3 3: 3, 6, 9, 12, 15, 18, 21, ... 7: 7, 14, 21, 28, 35, ... continue After this you make new equivalent fractions with the common denominator. - 5 2 1 5 7 3 x 3 x 3 x 7 x 7 = = 5 2 21 21 15 continue Now subtract whole numbers and numerators. Never subtract denominators. - 5 2 1 5 7 3 x 3 x 3 x 7 x 7 = = 5 2 3 21 21 7 21 15 You can do it! New Problem: find the common denominator, list the multiples of the denominators until you find a common one. The least common denominator for this problem is - 5 4 3 2 3 4 4: 4, 8, 12, 16, 20... 3: 3, 6, 9, 12, 15.... continue After this you make new equivalent fractions with the common denominator. - 5 4 3 2 3 4 x 4 x 4 x 3 x 3 = = 5 4 12 12 8 continue - On this problem we can not subtract 9 from 8 so we have to take one from the 5 and rename it to 12/12's. Now add it to 8/12we already have. That gives us 20/12 as the top fraction. 5 4 final answer 12 12 9 8 = 4 + 12 12 Keep trying! + 12 8 = - 4 4 20 12 12 12 9 The least common denominator for this problem is To subtract mixed fractions, the first step is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. New problem. 5: 5, 10, 15, 20,... 3: 3, 6, 9, 12, 15,... - 7 4 2 2 5 3 After this you make new equivalent fractions with the common denominator. - 7 4 2 2 5 3 x 3 x 3 x 5 x 5 = = 7 4 15 15 6 continue - On this problem we can not subtract 10 from 6 so we have to take one from the 7 and rename it to 15/15's. Now add it to 6/15we already have. That gives us 21/15 as the top fraction. Make sure the final answer is simplified. 7 4 10 15 15 6 = 6 + 15 15 + 15 6 = - 2 6 4 10 21 15 15 15 New Problem. List the multiples of the denominators until you find a common one. The least common denominator for this problem is - 5 3 1 1 4 2 4: 4, 8, 12, ... 2: 2, 4, ... continue You can do it! After this you make new equivalent fractions with the common denominator. - 5 3 1 1 4 2 x 2 x 2 = = 5 3 4 1 4 continue - On this problem we can not subtract 2 from 1(1/4&2/4) We have to take one from the 5 and rename it to 4/4's. Now add it to 1/4 we already have. That gives us 5/4 as the top fraction. 5 3 4 4 2 1 = 4 + 4 4 + 4 1 = - 1 4 3 5 4 4 4 2 - New problem! Think money! Could we take 3 dollars and 3 quarters away from 5 dollars? No! We would need change. How many quarters would we get for one dollar? 5 3 4 3 = 4 + 4 4 = - 4 3 1 4 4 4 4 3 continue Think money! Could we take 3 dollars and 3 quarters away from $5 and one quarter? No! We would need change. How many quarters would we get for one dollar? How many quarters did we already have? - Make sure its simplified. 5 3 4 4 1 3 = 4 + 4 4 + 4 1 = - 4 3 1 5 4 4 4 3 = 1 2 - Now you solve. Use your paper to work it out! Get a common denominator 2 1 4 1 2 3 x 3 x 4 x 4 x 3 = = - 1 2 3 12 12 = = - 1 1 borrow from the 2 12 8 12 3 12 + 12 12 = 1 1512 - Now you solve. Work it out on paper and fill in the blanks. 6 1 5 2 2 3 = = - 1 6 = = - 4 5 1 You can do it! - Now you solve. Work it out and fill in the blanks. 8 1 3 2 5 6 = = - 1 8 = = - 6 7 1 Now you solve. Use your paper to work it out! You can do it! Did you simplify? - 1 5 5 6 1 6 Now you solve. You must rename. Did you simplify? - 1 5 1 6 5 6 Now you solve. Work it out! - 1 9 1 3 5 6 Take your time! |