• Matéria: Matemática
  • Autor: ryanml74
  • Perguntado 4 anos atrás

b)9/7-3/4=

c)8/5-7/8=

d)8/15-1/3-45/16

e)2/3-1/4-8/5=​

Respostas

respondido por: edivaldocardoso
1

Resposta:

b)

 \frac{9}{7}  -  \frac{3}{4}  =  \\  \\  =  \frac{4 \times 9 - 7 \times 3}{28}  \\  \\  =  \frac{36 - 21}{28}  \\  \\  = \Large \boxed{ \green{ \bf  \frac{15}{28} }}

c)

 \frac{8}{5}  -  \frac{7}{8}  =  \\  \\  =  \frac{8 \times 8 - 5 \times 7}{40}  \\  \\  =  \frac{64 - 35}{40}  \\  \\  = \Large \boxed{ \green{ \bf \frac{29}{40} }}

d)

 \frac{8}{15}  -  \frac{1}{3}  -  \frac{45}{16}  =  \\  \\  \frac{16 \times 8 - 80 \times 1 - 15  \times 45}{240}  \\  \\  =  \frac{128 - 80 - 675}{240}  \\  \\  =  \frac{128 - 755}{240}  \\  \\  =  -  \frac{627 \div 3}{240 \div 3}  \\  \\  =  \Large \boxed{ \green{ \bf -  \frac{209}{80} }}

e)

 \frac{2}{3}  -  \frac{1}{4}  -  \frac{8}{5}  =  \\  \\  =  \frac{20 \times 2 - 15 \times 1 - 12 \times 8}{60}  \\  \\  =  \frac{40 - 15 - 96}{60}  \\  \\  =  \frac{40 - 111}{60}   \\  \\  =   \Large \boxed{ \green{ \bf - \frac{ 71}{60} }} \\  \\  \Large \boxed{ \underline{ \bf \blue{ Bons \: Estudos!}13/05/2021}}

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