[tex] \mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}[/tex]
- [tex] \bf{1. \: } \boxed{ \bf{ \: 9 \frac{19}{25} \: }} \\ [/tex]
- [tex] \bf{2. \: } \boxed{ \bf{ \: \frac{21}{50} \: }}[/tex]
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[tex] \mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}[/tex]
SOAL 1 :
[tex] \boxed{ \: \begin{aligned} &\tt{2{,}5 \div \frac{1}{4} - 1 \frac{1}{5} \times 20\%} \\ &\tt{ = \left(2{,}5 \div \frac{1}{4} \right) - \left(1 \frac{1}{5} \times 20\% \right)} \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \left( \frac{25}{10} \div \frac{1}{4} \right) - \left( \frac{6}{5} \times \frac{ \cancel{20}}{ \cancel{100}_{5}} \right)} \\ &\tt{ = \left( \frac{ \bcancel{{25}}^{5} }{ \bcancel{10}_{ \cancel{2}}} \times \frac{ \cancel{{4}}^{2} }{1} \right) - \frac{6}{25} } \\ &\tt{ = \frac{10}{1} - \frac{6}{25} }\blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{250}{25} - \frac{6}{25} } \\ &\tt{ = \frac{244}{25} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{9 \frac{19}{25} }}}}} \end{aligned} \: } \\ \\ [/tex]
SOAL 2 :
[tex] \boxed{ \: \begin{aligned} &\tt{4 \frac{4}{5} \times 0{,}4 - 1 \frac{1}{8} \div \frac{3}{4} } \\ &\tt{ = \left(4 \frac{4}{5} \times 0{,}4 \right) - \left(1 \frac{1}{8} \div \frac{3}{4} \right)} \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \left( \frac{24}{5} \times \frac{ \cancel{{4}}^{2} }{ \cancel{10}_{5}} \right) - \left( \frac{9}{8} \div \frac{3}{4} \right)} \\ &\tt{ = \frac{48}{25} - \left( \frac{ \bcancel{{9}}^{3} }{ \cancel{8}_{2}} \times \frac{ \cancel{4}}{ \bcancel{3}} \right)} \\ &\tt{ = \frac{48}{25} - \frac{3}{2} }\blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{96}{50} - \frac{75}{50} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{ \frac{21}{50} }}}}} \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]
[tex]\red{\boxed{\blue{\boxed{\tt{\orange{\star}~\green{\pink{♡}~\orange{By\to}♣ ~{\bf{\pink{Ana}}}~ ♣ ࿐}~\orange{\star}}}}}}[/tex]
Nomor 1.
[tex](2.5 \div \frac{1}{4} )- (1 \frac{1}{5} \times 20\%) \\ \\ = (\frac{25}{10} \div \frac{1}{4}) - ( \frac{6}{5} \times \frac{20}{100} ) \\ \\ = ( \frac{5}{2} \times \frac{4}{1} ) - ( \frac{6}{5} \times \frac{1}{5} ) \\ \\ = ( \frac{5}{1} \times \frac{2}{1} ) - (\frac{6}{5} \times \frac{1}{5} ) \\ \\ = \frac{10}{1} - \frac{6}{25} = \frac{250 - 6}{25} \\ \\ = \frac{244}{25 } = 9 \frac{19}{25} [/tex]
Nomor 2.
[tex](4 \frac{4}{5} \times 0.4) -( 1 \frac{1}{8} \div \frac{3}{4} ) \\ \\ = ( \frac{24}{5} \times \frac{4}{10} ) - ( \frac{9}{8} \times \frac{4}{3} ) \\ \\ = ( \frac{12}{5} \times \frac{4}{5} ) - ( \frac{3}{2} \times \frac{1}{1} ) \\ \\ = \frac{48}{25} - \frac{3}{2} = \frac{96 - 75}{50} \\ \\ = \frac{21}{50} [/tex]
[tex]{ \boxed{ \boxed{ \bold{ \huge{ \mathfrak{ \red{m}{ \orange{a}{ \green{g}{ \blue{h}{ \purple{f}{ \red{i}{ \orange{24}}}}}}}}}}}}}[/tex]
[answer.2.content]
