alguém pode me dar a ajuda por favor
D) 3/2×5)7×1/4=
E) 5/4×3×4/7=
F)5/2×7/2×3/8=
G)2×1/9×4/5=

Respostas

respondido por: Anônimo

✧ Os valores respectivos das frações são =

D) 15/56

E) 15/7

F) 105/32

G) 8/45

Para resolver pergunta, basta multiplicar os numeradores e os denominadores das frações entre si .

✏️ Cálculo :

$\\ {\large \displaystyle \sf { d) \ \frac{3}{2} \times\frac{5}{7} \times\frac{1}{4} = \frac{3\times5\times1}{2\times7\times4} = }} \ {\green{\boxed{\boxed{ {\large \displaystyle \sf {{\pink{ \ \frac{15}{56} \ }}}}}}}}\\\\$

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${\large \displaystyle \sf { e) \ \frac{5}{4} \times3\times\frac{4}{7} = \frac{5}{4} \times\frac{3}{1}\times\frac{4}{7} =\frac{5\times3\times4}{4\times1\times7} = \frac{60}{28} }} \\\\$

Reduza a fração 60/28 por 4 :

$\\ \begin{array}{r|l} \large \displaystyle \sf 60,28& \large \displaystyle \sf 2\\ \large \displaystyle \sf 30,14& \large \displaystyle \sf 2\\ \large \displaystyle \sf 15,7& \large \displaystyle \sf 3\\ \large \displaystyle \sf 5,7& \large \displaystyle \sf 5\\ \large \displaystyle \sf 1,7& \large \displaystyle \sf 7 \\ \large \displaystyle \sf 1,1 \large \displaystyle \sf \end{array}\\\\\\$

MDC ( Máximo Divisor Comum ) de 60 e 20 = 2 · 2 = 4

$\\ {\large \displaystyle \sf { \frac{60}{28} = \frac{60\div4}{28\div4} =}} \ {\green{\boxed{\boxed{ {\large \displaystyle \sf {{\pink{ \ \frac{15}{7} \ }}}}}}}}$

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${\large \displaystyle \sf { f) \ \frac{5}{2} \times\frac{7}{2} \times\frac{3}{8} = \frac{5\times7\times3}{2\times2\times8} = }} \ {\green{\boxed{\boxed{ {\large \displaystyle \sf {{\pink{ \ \frac{105}{32} \ }}}}}}}}\\\\$

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$\\ {\large \displaystyle \sf { g) \ 2\times \frac{1}{9} \times\frac{4}{5} = \frac{2}{1} \times\frac{1}{9} \times\frac{4}{5} = \frac{2\times1\times4}{1\times9\times5} = }} \ {\green{\boxed{\boxed{ {\large \displaystyle \sf {{\pink{ \ \frac{8}{45} \ }}}}}}}}\\\\$