[tex] \mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}[/tex]
- [tex] \begin{aligned} \boxed{ \bf{ \: \frac{9}{50} \: }} \end{aligned}[/tex]
- [tex] \begin{aligned} \boxed{ \bf{ \: 1 \frac{19}{32} \: }} \end{aligned}[/tex]
- [tex] \begin{aligned} \boxed{ \bf{ \: 12 \frac{41}{80} \: }} \end{aligned}[/tex]
- [tex] \begin{aligned} \boxed{ \bf{ \: 21 \frac{1}{5} \: }} \end{aligned}[/tex]
- [tex] \boxed{ \bf{ \: 3 \frac{8}{9} \: }}[/tex]
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[tex] \mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}[/tex]
SOAL 1 :
[tex] \boxed{ \: \begin{aligned}& \tt{ \frac{1}{4} \times 0,72} \blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ & \tt{ = \frac{1}{ \bcancel{4}} \times \frac{ \bcancel{{72}}^{18} }{100 \: \: \: } } \\ & \tt{ = \frac{18}{100} }\blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{sederhanakan}}}}}} \\ & \tt{ = \: \red{ \boxed{ \pink{ \bf{ \frac{9}{50}}}}} } \end{aligned} \: } \\ \\ [/tex]
SOAL 2 :
[tex] \boxed{ \: \begin{aligned}& \tt{85\% \div \frac{8}{15} } \blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}}\\ & \tt{ = \frac{85}{100} \div \frac{8}{15} } \\ & \tt{ = \frac{17}{ \bcancel{20}_{4}} \times \frac{ \bcancel{{15}}^{3} }{8} } \\ & \tt{ = \frac{51}{32}} \\ & \tt{ = \: \red{ \boxed{ \pink{ \bf{1 \frac{19}{32} }}}} } \end{aligned} \: } \\ \\ [/tex]
SOAL 3 :
[tex] \boxed{ \: \begin{aligned}& \tt{30 + 0,25 \times 5\% - 3 \frac{1}{2} \div \frac{1}{5} } \blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}}\\ & \tt{ = \frac{30}{1} + \left( \frac{25}{100} \times \frac{5}{100} \right) - \left( \frac{7}{2} \div \frac{1}{5} \right) }\\ & \tt{ = \frac{30}{1} + \left( \frac{1}{4} \times \frac{1}{20} \right) - \left( \frac{7}{2} \times \frac{5}{1} \right)}\\ & \tt{ = \frac{30}{1} + \frac{1}{80} - \frac{35}{2} }\blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutya}}}}}} \\ & \tt{ = \frac{2.400}{80} + \frac{1}{80} - \frac{1.400}{80} }\\ & \tt{ = \frac{1.001}{80} }\\ & { = \: \red{ \boxed{ \bf{ \pink{12 \frac{41}{80}}}}} } \end{aligned} \: } \\ \\ [/tex]
SOAL 4 :
[tex] \boxed{ \: \begin{aligned}& \tt{40\% \times 4 \frac{1}{2} - 0,6 + 10 \div \frac{1}{2} } \blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}}\\ & \tt{ = \left( \frac{40}{100} \times \frac{9}{2} \right) - \frac{6}{10} + \left( \frac{10}{1} \div \frac{1}{2} \right)}\\ & \tt{ = \left( \frac{ \cancel{2}}{5} \times \frac{9}{ \cancel{2}} \right) - \frac{3}{5} + \left( \frac{10}{1} \times \frac{2}{1} \right)}\\ & \tt{ = \frac{9}{5} - \frac{3}{5} + \frac{20}{1} }\blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}}\\ & \tt{ = \frac{9}{5} - \frac{3}{5} + \frac{100}{5} }\\ & \tt{ = \frac{106}{5} }\\ & { = \: \red{ \boxed{ \bf{ \pink{21 \frac{1}{5}}}}} } \end{aligned} \: } \\ \\ [/tex]
SOAL 5 :
[tex] \boxed{ \: \begin{aligned}& \tt{4 \frac{3}{8} \div 1,5 \div \frac{3}{4} } \blue{ \Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ & \tt{ = \frac{35}{8} \div \frac{15}{10} \div \frac{3}{4} }\\ & \tt{ = \frac{35}{8} \times \frac{10}{15} \times \frac{4}{3} }\\ & \tt{ = \frac{35}{ \cancel{8}_{ \xcancel2}} \times \frac{ \xcancel{2}}{3} \times \frac{ \cancel{4}}{3} }\\ & \tt{ = \frac{35}{9} } \\ & \tt{ = \: \red{ \boxed{ \pink{ \bf{3 \frac{8}{9} }}}} } \end{aligned} \: }[/tex]
[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]