tolong kak pakai cara jangan ngasal ya tolong

Berikut ini adalah pertanyaan dari alvinokoko pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Tolong kak pakai cara jangan ngasal ya tolong

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

$\mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}$

$\bf{1. \: } \boxed{ \bf{ \: 9 \frac{19}{25} \: }} \\$
$\bf{2. \: } \boxed{ \bf{ \: \frac{21}{50} \: }}$

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$\mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}$

SOAL 1 :

$\boxed{ \: \begin{aligned} &\tt{2{,}5 \div \frac{1}{4} - 1 \frac{1}{5} \times 20\%} \\ &\tt{ = \left(2{,}5 \div \frac{1}{4} \right) - \left(1 \frac{1}{5} \times 20\% \right)} \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \left( \frac{25}{10} \div \frac{1}{4} \right) - \left( \frac{6}{5} \times \frac{ \cancel{20}}{ \cancel{100}_{5}} \right)} \\ &\tt{ = \left( \frac{ \bcancel{{25}}^{5} }{ \bcancel{10}_{ \cancel{2}}} \times \frac{ \cancel{{4}}^{2} }{1} \right) - \frac{6}{25} } \\ &\tt{ = \frac{10}{1} - \frac{6}{25} }\blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{250}{25} - \frac{6}{25} } \\ &\tt{ = \frac{244}{25} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{9 \frac{19}{25} }}}}} \end{aligned} \: } \\ \\$

SOAL 2 :

$\boxed{ \: \begin{aligned} &\tt{4 \frac{4}{5} \times 0{,}4 - 1 \frac{1}{8} \div \frac{3}{4} } \\ &\tt{ = \left(4 \frac{4}{5} \times 0{,}4 \right) - \left(1 \frac{1}{8} \div \frac{3}{4} \right)} \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \left( \frac{24}{5} \times \frac{ \cancel{{4}}^{2} }{ \cancel{10}_{5}} \right) - \left( \frac{9}{8} \div \frac{3}{4} \right)} \\ &\tt{ = \frac{48}{25} - \left( \frac{ \bcancel{{9}}^{3} }{ \cancel{8}_{2}} \times \frac{ \cancel{4}}{ \bcancel{3}} \right)} \\ &\tt{ = \frac{48}{25} - \frac{3}{2} }\blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{96}{50} - \frac{75}{50} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{ \frac{21}{50} }}}}} \end{aligned} \: }$

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