Grade 4 Mathematics Unit: 06 Fraction Addition Notes and Practice KEY You can use models to add fractions. 1 5 Add and . 8 8 (1) Use the denominators to determine how many equal parts the model should be spit into. Model by shading one of the eighths. 1 8 (2) Add five-eighths by shading 5 more of the parts. (3) Write the sum in simplest form. 1 5 6 + = 8 8 8 6 2 3 ÷ = 8 2 4 1 3 of an hour at the beginning of practice and of an hour at the 6 6 end of practice. How long did Kayla’s tennis team spend running drills at practice? Kayla’s tennis team ran drills for (1) Use the model below to help you add the fractions. Explain your model. 3 6 + 1 6 = 4 6 Sample answer: I can divide the rectangle into 6 equal parts and shade 3 and then 1 of the parts to model the problem. (2) Show how to write the sum in simplest form. 4 2 2 ÷ = 6 2 3 (3) How long did Kayla’s tennis team spend running drills at practice? 2 of an hour 3 Grade 4 Mathematics Unit: 06 Fraction Addition Notes and Practice KEY There were 10 bowling pins standing before Paul took his turn. He knocked down three pins on his first turn and then five pins on his second turn. What fraction of the pins did Paul knock down in his two turns? (1) Use the model below to help you add the fractions. Explain your model. 3 10 + 5 10 = 8 10 I can divide the rectangle into 10 equal parts and shade 3 and then 5 of the parts to model the problem. (2) Show how to write the sum in simplest form. 8 2 4 ÷ = 10 2 5 (3) What fraction of the pins did Paul knock down in his two turns? 4 of the pins 5 ====================================================================== 3 Jake swims every day. One day he swam of a mile in ten minutes. On the second day, he swam 7 the same distance in 11 minutes. On the third day, he swam the same distance in 10.5 minutes. How far did Jake swim altogether? (1) Use the model below to help you add the fractions. Explain your model. 3 7 + 3 7 + 3 7 = 9 7 I can divide the rectangle into 7 equal parts and shade 3 and then 3 more of the part. Then, I only have one part left of the whole and need to add two more equal parts to make 3 more sevenths. (2) Show how to write the sum as a mixed number. 9 = 1 2 of a mile 7 7 (3) How far did Jake swim on all three days all together? 1 2 of a mile 7
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