options: 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.)

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.
problem_activity: Problem 1
a.   Ms. Needham made a lasagna for dinner with her family. She cut the lasagna into 12 pieces. Her family ate 4 pieces of lasagna the night that she made it. The next day, they ate 3 more pieces. What fraction of the lasagna did Ms. Needham’s family eat altogether?
b.   Ms. Roll is stringing beads to make a 16-inch necklace. At the end of the first night of working on it, she has 5 inches of beads strung. At the end of the second night of working on it, she has another 7 inches of beads strung. What fraction of the necklace has Ms. Roll completed?
Problem 2
Solve. Show your work with an area model or a number line.
a.
$$\frac{7}{8}+\frac{6}{8}$$
b.
$$\frac{13}{12}+\frac{5}{12}$$
Problem 3
Solve. Show or explain your work.
a.
$${5{1\over8}+{5\over8}}$$
b.
$${9{11\over12}+{11\over12}}$$
c.
$${3{4\over17}+4{8\over17}}$$
d.
$${2{11\over15}+2{13\over15}}$$


correct_option_index: 0

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