1 / 11

Learn to regroup mixed numbers to subtract .

Learn to regroup mixed numbers to subtract. 3. __. Jimmy and his mother planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted?. 4. 1. __. 4. The difference in the heights can be represented by 2 – 1. 1. 3. __.

bradleydawson
Télécharger la présentation

Learn to regroup mixed numbers to subtract .

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Learn to regroup mixed numbers to subtract.

  2. 3 __ Jimmy and his mother planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted? 4 1 __ 4 The difference in the heights can be represented by 2 – 1 . 1 3 __ __ 4 4 1 __ You will need to regroup 2 because the fraction in 1 is greater than . 4 3 1 __ __ 4 4 1 __ Divide one whole of 2 into fourths. 4

  3. 1 5 __ __ 1 1 1 4 1 5 __ __ 4 4 4 4 3 1 1 4 1 4 1 4 1 4 1 4 3 __ __ 4 4 1 1 4 1 4 1 4 1 4 1 4 1 2 __ __ 2 4 1 __ 2 2 1 Regroup 2 as 1 . –1 – 1 ______ ______ = The tree has grown ft since it was planted.

  4. 2 __ 3 Write 6 as a mixed number with a denominator of 3. Rename 6 as 5 + . 3 __ 3 __ 3 3 2 2 __ __ 3 3 1 __ 3 1 __ 3 Additional Example 1A: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 6 – 3 Estimate the difference. 6 – 4 = 2 6 5 Subtract the fractions and then the whole numbers. –3 –3 ______ ______ 2 2 is close to the estimate of 2. The answer is reasonable.

  5. 3 1 __ __ 4 3 4 16 __ __ 12 12 4 4 12 4 __ __ __ __ 9 9 __ __ Rename 5 as 4 + 1 = 4 + + . 12 12 12 12 12 12 7 __ 12 7 __ 12 Additional Example 1B: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 5 – 2 Estimate the difference. 5 – 3 = 2 The LCM of 4 and 3 is 12. 5 4 –2 –2 ______ ______ Subtract the fractions and then the whole numbers. 2 2 is close to the estimate of 2. The answer is reasonable.

  6. 1 5 __ __ 6 6 1 7 1 6 1 1 __ __ __ __ __ __ 6 6 6 6 6 6 5 5 __ __ 6 6 2 1 __ __ 6 3 1 __ 3 Check It Out: Example 1A Subtract. Write each answer in simplest form. 7 – 2 Estimate the difference. 7 – 3 = 4 7 6 Rename 7 as 6 + 1 = 6 + + . Subtract the fractions and then the whole numbers. –2 –2 ______ ______ Write the answer in simplest form. 4 = 4 4 is close to the estimate of 4. The answer is reasonable.

  7. 2 7 __ __ 5 10 4 14 __ __ 10 10 4 4 4 10 __ __ 7 __ __ 7 __ __ 10 10 10 10 10 10 7 __ 10 7 __ 10 Check It Out: Example 1B Subtract. Write each answer in simplest form. 8 – 6 Estimate the difference. 8 – 7 = 1 10 is a multiple of 5, so 10 is a common denominator. 8 7 Rename 8 as 7 + 1 = 7 + + . –6 –6 ______ ______ Subtract the fractions and then the whole numbers. 1 1 is close to the estimate of 1. The answer is reasonable.

  8. 3 __ 4 4 __ 4 __ 4 4 3 3 __ __ 4 4 1 __ 4 1 __ 4 Additional Example 2A: Measurement Application Li is making a quilt. She needs 15 yards of fabric. Li has 2 yards of fabric. How many more yards does she need? Write 15 as a mixed number with a denominator of 4. Rename 15 as 14 + . 15 14 Subtract the fractions and then the whole numbers. –2 –2 ______ ______ 12 Li needs another 12 yards of fabric.

  9. 1 __ 6 6 __ 6 __ 6 6 1 1 __ __ 6 6 5 __ 6 5 __ 6 Additional Example 2B: Measurement Application If Li uses 11 yards of fabric, how much of the 15 yards will she have left? Write 15 as a mixed number with a denominator of 6. Rename 15 as 14 + . 15 14 Subtract the fractions and then the whole numbers. –11 –11 ______ ______ 3 Li will have 3 yards of fabric.

  10. 5 __ 6 6 __ 6 __ 6 6 5 5 __ __ 6 6 1 __ 6 1 __ 6 Check It Out: Example 2A Peggy is making curtains. She needs 13 yards of fabric. Peggy has 4 yards of fabric. How many more yards does she need? Write 13 as a mixed number with a denominator of 6. Rename 13 as 12 + . 13 12 Subtract the fractions and then the whole numbers. –4 –4 ______ ______ 8 Peggy needs another 8 yards of fabric.

  11. 1 __ 4 4 __ 4 __ 4 4 1 1 __ __ 4 4 3 __ 4 3 __ 4 Check It Out: Example 2B If Peggy uses 9 yards of fabric, how much of the 13 yards will she have left? Write 13 as a mixed number with a denominator of 4. Rename 13 as 12 + . 13 12 Subtract the fractions and then the whole numbers. –9 –9 ______ ______ 3 Peggy will have 3 yards of fabric left.

More Related