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Aleksandr [31]
3 years ago
10

Draw fraction rectangles on dot paper to solve the problems.

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

1) \frac{7}{20}

2) 1\frac{1}{12}

3) \frac{7}{8}

Step-by-step explanation:

1) Given problem,

\frac{3}{5}-\frac{1}{4}

LCM(5,4) = 20,

\frac{3}{5}=\frac{3\times 4}{5\times 4}=\frac{12}{20}

\frac{1}{4}=\frac{1\times 5}{4\times 5}=\frac{5}{20}

\implies \frac{3}{5}-\frac{1}{4}=\frac{12}{20}-\frac{5}{20}=\frac{7}{20}

2) Given problem,

\frac{5}{6}+\frac{1}{4}

LCM(6, 4) = 12,

\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}

\frac{1}{4}=\frac{1\times 3}{4\times 3}=\frac{3}{12}

\implies \frac{5}{6}+\frac{1}{4}=\frac{10}{12}+\frac{3}{12}=\frac{13}{12}=1\frac{1}{12}

3) ∵ Pizza ate by Manny = \frac{1}{4}

Pizza ate by Frank = \farc{5}{8}

∴ Total pizza eaten = \frac{1}{4}+\frac{5}{8}

LCM(4, 8) = 8,

\frac{1}{4}=\frac{2}{8}

Thus, total pizza eaten =  \frac{2}{8}+\frac{5}{8}=\frac{7}{8}

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