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) [tex]\frac{7}{20}[/tex]2) [tex]1\frac{1}{12}[/tex]3) [tex]\frac{7}{8}[/tex]Step-by-step explanation:1) Given problem,[tex]\frac{3}{5}-\frac{1}{4}[/tex]LCM(5,4) = 20,[tex]\frac{3}{5}=\frac{3\times 4}{5\times 4}=\frac{12}{20}[/tex][tex]\frac{1}{4}=\frac{1\times 5}{4\times 5}=\frac{5}{20}[/tex][tex]\implies \frac{3}{5}-\frac{1}{4}=\frac{12}{20}-\frac{5}{20}=\frac{7}{20}[/tex]2) Given problem,[tex]\frac{5}{6}+\frac{1}{4}[/tex]LCM(6, 4) = 12,[tex]\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}[/tex][tex]\frac{1}{4}=\frac{1\times 3}{4\times 3}=\frac{3}{12}[/tex][tex]\implies \frac{5}{6}+\frac{1}{4}=\frac{10}{12}+\frac{3}{12}=\frac{13}{12}=1\frac{1}{12}[/tex]3) ∵ Pizza ate by Manny = [tex]\frac{1}{4}[/tex]Pizza ate by Frank = [tex]\farc{5}{8}[/tex]∴ Total pizza eaten = [tex]\frac{1}{4}+\frac{5}{8}[/tex]LCM(4, 8) = 8,[tex]\frac{1}{4}=\frac{2}{8}[/tex]Thus, total pizza eaten =  [tex]\frac{2}{8}+\frac{5}{8}=\frac{7}{8}[/tex]