Kerjakan soal-soal berikut. 74:53+56×92=....

Pertanyaan

Kerjakan soal-soal berikut.

$\frac47:\frac35+\frac65\times\frac29=....$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari $\begin{array}{rcl}&&\frac47:\frac35+\frac65\times\frac29\end{array}$ adalah $\begin{array}{rcl}&&1\frac{23}{105}\end{array}$ .

Pembahasan

Ingat kembali:

-sifat pembagian pecahan:

$a over d colon b over c equals a over d cross times c over b equals fraction numerator a times c over denominator d times b end fraction$

-sifat perkalian pecahan:

$a over d cross times b over c equals fraction numerator a cross times b over denominator d cross times c end fraction$

-sifat penjumlahan pecahan

$a over b plus c over d equals fraction numerator a cross times d plus b cross times c over denominator b cross times d end fraction$

Pada soal terdapat dua operasi, yaitu pembagian dan pengurangan, maka yang dikerjakan pertama adalah pembagian terlebih dahulu, sehingga:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 4 over 7 colon 3 over 5 plus 6 over 5 cross times 2 over 9 end cell equals cell 4 over 7 cross times 5 over 3 plus fraction numerator scriptbase up diagonal strike 6 end scriptbase presuperscript bold 2 cross times 2 over denominator 5 cross times up diagonal strike 9 subscript bold 3 end fraction end cell row blank equals cell fraction numerator 4 cross times 5 over denominator 7 cross times 3 end fraction plus fraction numerator 2 cross times 2 over denominator 5 cross times 3 end fraction end cell row blank equals cell 20 over 21 plus 4 over 15 end cell row blank equals cell fraction numerator 20 cross times 15 plus 4 cross times 21 over denominator 21 cross times 15 end fraction end cell row blank equals cell fraction numerator 300 plus 84 over denominator 315 end fraction end cell row blank equals cell 384 over 315 space open parentheses sama minus sama space dibagi space 3 close parentheses end cell row blank equals cell 128 over 105 end cell row blank equals cell 1 23 over 105 end cell end table$

Jadi, hasil dari $\begin{array}{rcl}&&\frac47:\frac35+\frac65\times\frac29\end{array}$ adalah $\begin{array}{rcl}&&1\frac{23}{105}\end{array}$ .