Q:

# Draw fraction rectangles on dot paper to solve the problems.1) Subtract: 3/5 - 1/42) Add: 5/6 + 1/43) Manny and Frank ordered pizza. Manny ate 1/4 of the pizza and Frank ate 5/8 of the pizza. How much of the whole pizza was eaten?

Accepted Solution

A:
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 =  $$\frac{2}{8}+\frac{5}{8}=\frac{7}{8}$$