options: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
problem_activity: Problem 1
Solve. Show or explain your work.
$${2{5\over8}+4{2\over3}}$$
Problem 2
Sang needs
$$3\tfrac{1}{2}$$
feet of string to make a necklace and
$$2\tfrac{1}{4}$$
feet of string left. How much string, in feet, did Sang have before making the necklace?


correct_option_index: 0

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