Quizzzz sianggsoal ada di fto.. pake cara ya no ngasal

Berikut ini adalah pertanyaan dari ayumi1712 pada mata pelajaran Matematika untuk jenjang Sekolah Dasar

Quizzzz sianggsoal ada di fto.. pake cara ya no ngasal btw klo dah 500 followers aku bkal sering² bikin quiz​
Quizzzz sianggsoal ada di fto.. pake cara ya no ngasal btw klo dah 500 followers aku bkal sering² bikin quiz​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

{\sf{1.~2\dfrac{1}{4}\times2\dfrac{2}{5}=\textsf{\textbf{5}}\dfrac{\textsf{\textbf{2}}}{\textsf{\textbf{5}}}}}

{\sf{2.~2\dfrac{2}{3}\times4\dfrac{1}{2}=\textsf{\textbf{12}}}}

{\sf{3.~3\dfrac{1}{3}\times1\dfrac{2}{6}=\textsf{\textbf{4}}\dfrac{\textsf{\textbf{4}}}{\textsf{\textbf{9}}}}}

{\sf{4.~1\dfrac{5}{7}\times2\dfrac{2}{3}=\textsf{\textbf{6}}\dfrac{\textsf{\textbf{6}}}{\textsf{\textbf{7}}}}}

 

Pembahasan

No. 1

\begin{aligned}{\sf{2\frac{1}{4}\times2\frac{2}{5}}}&={\sf{\frac{2\times4+1}{4}\times\frac{2\times5+2}{5}}}\\&={\sf{\frac{9}{4}\times\frac{12}{5}}}\\&={\sf{\frac{108}{20}}}\\&={\sf{\frac{27}{5}}}\\&={\sf{5\frac{2}{5}}}\end{aligned}

 

No. 2

\begin{aligned}{\sf{2\frac{2}{3}\times4\frac{1}{2}}}&={\sf{\frac{2\times3+2}{3}\times\frac{4\times2+1}{2}}}\\&={\sf{\frac{8}{3}\times\frac{9}{2}}}\\&={\sf{\frac{72}{6}}}\\&={\sf{\frac{12}{1}}}\\&={\sf{12}}\end{aligned}

 

No. 3

\begin{aligned}{\sf{3\frac{1}{3}\times1\frac{2}{6}}}&={\sf{\frac{3\times3+1}{3}\times\frac{1\times6+2}{6}}}\\&={\sf{\frac{10}{3}\times\frac{8}{6}}}\\&={\sf{\frac{80}{18}}}\\&={\sf{\frac{40}{9}}}\\&={\sf{4\frac{4}{9}}}\end{aligned}

 

No. 4

\begin{aligned}{\sf{1\frac{5}{7}\times2\frac{2}{3}}}&={\sf{\frac{1\times7+5}{7}\times\frac{2\times3+2}{2}}}\\&={\sf{\frac{12}{7}\times\frac{8}{2}}}\\&={\sf{\frac{96}{14}}}\\&={\sf{\frac{48}{7}}}\\&={\sf{6\frac{6}{7}}}\end{aligned}

[tex]{\sf{1.~2\dfrac{1}{4}\times2\dfrac{2}{5}=\textsf{\textbf{5}}\dfrac{\textsf{\textbf{2}}}{\textsf{\textbf{5}}}}}[/tex][tex]{\sf{2.~2\dfrac{2}{3}\times4\dfrac{1}{2}=\textsf{\textbf{12}}}}[/tex][tex]{\sf{3.~3\dfrac{1}{3}\times1\dfrac{2}{6}=\textsf{\textbf{4}}\dfrac{\textsf{\textbf{4}}}{\textsf{\textbf{9}}}}}[/tex][tex]{\sf{4.~1\dfrac{5}{7}\times2\dfrac{2}{3}=\textsf{\textbf{6}}\dfrac{\textsf{\textbf{6}}}{\textsf{\textbf{7}}}}}[/tex] Pembahasan–› No. 1[tex]\begin{aligned}{\sf{2\frac{1}{4}\times2\frac{2}{5}}}&={\sf{\frac{2\times4+1}{4}\times\frac{2\times5+2}{5}}}\\&={\sf{\frac{9}{4}\times\frac{12}{5}}}\\&={\sf{\frac{108}{20}}}\\&={\sf{\frac{27}{5}}}\\&={\sf{5\frac{2}{5}}}\end{aligned}[/tex] –› No. 2[tex]\begin{aligned}{\sf{2\frac{2}{3}\times4\frac{1}{2}}}&={\sf{\frac{2\times3+2}{3}\times\frac{4\times2+1}{2}}}\\&={\sf{\frac{8}{3}\times\frac{9}{2}}}\\&={\sf{\frac{72}{6}}}\\&={\sf{\frac{12}{1}}}\\&={\sf{12}}\end{aligned}[/tex] –› No. 3[tex]\begin{aligned}{\sf{3\frac{1}{3}\times1\frac{2}{6}}}&={\sf{\frac{3\times3+1}{3}\times\frac{1\times6+2}{6}}}\\&={\sf{\frac{10}{3}\times\frac{8}{6}}}\\&={\sf{\frac{80}{18}}}\\&={\sf{\frac{40}{9}}}\\&={\sf{4\frac{4}{9}}}\end{aligned}[/tex] –› No. 4[tex]\begin{aligned}{\sf{1\frac{5}{7}\times2\frac{2}{3}}}&={\sf{\frac{1\times7+5}{7}\times\frac{2\times3+2}{2}}}\\&={\sf{\frac{12}{7}\times\frac{8}{2}}}\\&={\sf{\frac{96}{14}}}\\&={\sf{\frac{48}{7}}}\\&={\sf{6\frac{6}{7}}}\end{aligned}[/tex]

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Last Update: Wed, 16 Nov 22