Isilah titik-titk di bawah ini dengan jawaban singkat dan tepat! e. 2101×164÷172=....

Pertanyaan

Isilah titik-titk di bawah ini dengan jawaban singkat dan tepat!

e. $2\frac1{10}\times1\frac46\div1\frac27=....$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

$\begin{array}{rcl}2\frac1{10}\times1\frac46\div1\frac27&=&2\frac{13}{18}\end{array}$ .

Pembahasan

Ingat kembali sifat-sifat berikut:

$a b over c equals fraction numerator open parentheses a cross times c close parentheses plus b over denominator c end fraction a over b divided by c over d equals a over b cross times d over c a over b cross times c over d equals fraction numerator a cross times c over denominator b cross times d end fraction$

Hasil dari $2\frac1{10}\times1\frac46\div1\frac27$ dapat ditentukan sebagai berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 2 1 over 10 cross times 1 4 over 6 divided by 1 2 over 7 end cell equals cell fraction numerator open parentheses 2 cross times 10 close parentheses plus 1 over denominator 10 end fraction cross times fraction numerator open parentheses 1 cross times 6 close parentheses plus 4 over denominator 6 end fraction divided by fraction numerator open parentheses 1 cross times 7 close parentheses plus 2 over denominator 7 end fraction end cell row blank equals cell 21 over up diagonal strike 10 to the power of 1 cross times up diagonal strike 10 to the power of 1 over 6 divided by 9 over 7 end cell row blank equals cell 21 over 6 divided by 9 over 7 end cell row blank equals cell 21 over 6 cross times 7 over 9 end cell row blank equals cell 147 over 54 end cell row blank equals cell 2 39 over 54 end cell row blank equals cell 2 13 over 18 end cell end table$

Jadi, $\begin{array}{rcl}2\frac1{10}\times1\frac46\div1\frac27&=&2\frac{13}{18}\end{array}$ .