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Lesson 6.1 Reteach Name Addition with Unlike Denominators Karen is stringing a necklace with beads. She puts green beads on 1 3 _ of the string and purple beads on __ 2 10 of the string. How much of the string does Karen cover with beads? You can use fraction strips to help you add fractions with unlike denominators. Trade fraction strips of fractions with unlike denominators for equivalent strips of fractions with like denominators. Use fraction strips to find the sum. Write your answer in simplest form. 1 3 _ 1 __ 2 10 Step 1 Use a 1_2 strip and three 1 __ 10 strips to model fractions with unlike denominators. Step 2 Trade the 1_2 strip for 1 five __ 10 strips. 3 5 __ 5 1 __ 3 1 1 __ _ Step 3 sum 2 10 10 10 Add the fractions with like denominators. 3 5 __ 8 5 1 __ __ Step 4 10 10 10 Write the answer in simplest form. 8 54 __ _ 10 5 _ of the string with beads. So, Karen covers 4 5 Use fraction strips to find the sum. Write your answer in simplest form. 3 1 __ 8 4 3 1. __ Reteach © Houghton Mifflin Harcourt Publishing Company 1 1 __ 3 4 7 1 ___ 6 12 2 2. __ 5 3. __ R50 Grade 5 Lesson 6.2 Reteach Name Subtraction with Unlike Denominators You can use fraction strips to help you subtract fractions with unlike denominators. Trade fraction strips of fractions with unlike denominators for equivalent strips of fractions with like denominators. Use fraction strips to find the difference. Write your answer in simplest form. 1 2 __ 1 _ 2 10 Step 1 Use a 1_2 fraction strip to model the first fraction. Step 2 Trade the 1_2 strip for 1 five __ 10 strips. 5 2 __ 1 5 __ 1 1 2 __ _ 2 Step 3 10 10 10 Subtract by taking 1 away __ 10 . 5 2 __ 1 5 __ 4 __ 10 10 10 1 5 __ 4 . Written in simplest form, __ 4 52 _ 2 __ _. So, 1 2 10 10 10 5 Use fraction strips to find the difference. Write your answer in simplest form. 7 1. __ __ 21 8 2 2 2. __ __ __ 2 1 4. 1 9 5. ___ 2 3 Reteach © Houghton Mifflin Harcourt Publishing Company 5 3. __ __ 21 3 4 10 1 2 __ 6 3 4 2 __ 5 2 6. __ 3 R51 5 2 ___ 12 Grade 5 Lesson 6.3 Reteach Name Estimate Fraction Sums and Differences You can round fractions to 0, to 1_2 , or to 1 to estimate sums and differences. 41_ 1 Estimate the sum. _ 6 9 0 6 Find 4_6 on the number line. Is it closest to 0, 1_2 , or 1? The fraction 4_6 is closest to 1_2 . Step 1 0 9 3 6 4 6 5 6 6 6 1 1 2 1 9 2 9 3 9 4 9 0 To estimate the sum 4_6 1 1_9 , add the two rounded numbers. Step 3 2 6 0 Find 1_9 on the number line. Is it closest to 0, 1_2 , or 1? The fraction 1_9 is closest to 0. Step 2 1 6 5 9 6 9 7 9 8 9 9 9 1 1 2 1 _1051 _ 2 2 1 is about 1 41_ _. So, _ 6 9 2 Estimate the sum or difference. 0 6 0 1 6 2 6 3 6 1 2 4 6 5 6 6 6 0 8 1 0 5 8 6 8 7 8 8 8 1 1 2 3 2 __ 6 8 1 6. __ 7 5. __ Reteach 4 8 __ 25 8 6 3 1 __ 6 8 © Houghton Mifflin Harcourt Publishing Company 3 8 5 3. __ 2 2. __ 4 4. __ 2 8 __ 17 6 8 1 1 __ 6 8 4 1. __ 1 8 7 1 __ 6 8 R52 Grade 5