plis tolong kk "ya"

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

Plis tolong kk "ya"

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

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

$\bf{10) \: c. \: } \boxed{ \bf{ \: 1 \frac{5}{9} \: }} \\$
$\bf{11) \: d. \: } \boxed{ \bf{ \: 5 \frac{1}{10} \: }} \\$
$\bf{12) \: c. \: } \boxed{ \bf{ \: 3 \frac{9}{12} \: }} \\$
$\bf{13) \: b. \: } \boxed{ \bf{ \: \frac{5}{6} \: }} \\$
$\bf{14) \: b. \: } \boxed{ \bf{ \: 4 \frac{3}{8} \: }} \\$
$\bf{15) \: c. \: } \boxed{ \bf{ \: 2 \frac{11}{12} \: }}$

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

SOAL 10 :

$\boxed{ \: \begin{aligned} &\tt{ \frac{8}{9} \div \frac{4}{7} } \\ &\tt{ = \frac{{ \bcancel{8}}^{2} }{9} \times \frac{7}{ \bcancel{4}} } \\ &\tt{ = \frac{14}{9} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{1 \frac{5}{9} }}}}} \end{aligned} \: } \\ \\$

SOAL 11 :

$\boxed{ \: \begin{aligned} &\tt{8 \frac{1}{2} \times \frac{3}{5} } \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \frac{17}{2} \times \frac{3}{5} } \\ &\tt{ = \frac{51}{10} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{5 \frac{1}{10} }}}}} \end{aligned} \: } \\ \\$

SOAL 12 :

$\boxed{ \: \begin{aligned} &\tt{2 \frac{1}{4} \div \frac{6}{10} } \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \frac{9}{4} \div \frac{6}{10}} \\ &\tt{ = \frac{9}{4} \times \frac{{ \bcancel{10}}^{5} }{ \bcancel{6}_{3}} } \\ &\tt{ = \frac{45}{12} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{3 \frac{9}{12} }}}}} \end{aligned} \: } \\ \\$

SOAL 13 :

$\boxed{ \: \begin{aligned} &\tt{1 \frac{2}{3} \times \frac{1}{2} } \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \frac{5}{3} \times \frac{1}{2} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{ \frac{5}{6} }}}}} \end{aligned} \: } \\ \\$

SOAL 14 :

$\boxed{ \: \begin{aligned} &\tt{3 \frac{1}{4} + \frac{9}{10} \div 0{,}8} \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{ubah \: menjadi \: pecahan \: biasa}}}}}} \\ &\tt{ = \frac{13}{4} + \frac{9}{10} \div \frac{8}{10} } \\ &\tt{ = \frac{13}{4} + \frac{9}{ \cancel{10}} \times \frac{ \cancel{10}}{8} } \\ &\tt{ = \frac{13}{4} + \frac{9}{8} }\blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{26}{8} + \frac{9}{8} } \\ &\tt{ = \frac{35}{8} } \\ &\tt{ = \red{ \boxed{ \bf{ \pink{4 \frac{3}{8} }}}}} \end{aligned} \: } \\ \\$

SOAL 15 :

$\boxed{ \: \begin{aligned} &\tt{ \left(2 \times \frac{1}{3} \right) + \left(3 \times \frac{3}{4} \right)} \\ &\tt{ = \frac{2}{3} + \frac{9}{4} } \blue{\Rightarrow{ \tiny{ \boxed{ \sf{ \purple{samakan \: penyebutnya}}}}}} \\ &\tt{ = \frac{8}{12} + \frac{27}{12} } \\ &\tt{ = \frac{35}{12}} \\ &\tt{ = \red{ \boxed{ \bf{ \pink{2 \frac{11}{12} }}}}} \end{aligned} \: }$

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