Question

simplifique essas fraçoes:
5/15 8/16 6/10 40/50

Answer 1

Resposta:

Explicação passo a passo:

5/15 :3 = 1/3

8/16 :8 = 1/2

6/10 :2 = 3/5

40/50 :10 = 4/5

Answer 2

As frações simplificadas são:

• 5/15 = 1/3
• 8/16 = 1/2
• 6/10 = 3/5
• 40/50 = 4/5

Para simplificar uma fração temos que dividir o numerador e denominador pelo o máximo divisor comum dos mesmos.

Fração 1: 5/15 - MDC(5,15)

• Calculando mdc:

$\large\boxed{\boxed{\begin{array}{r|l}\rm 5,15&3~\\\rm 5,5&5~\checkmark\\\rm 1,1\end{array}}}$

• Simplificando:

$\Large\boxed{\orange{\boxed{\bf\dfrac{5^{:5}}{15_{:5}}=\dfrac{1}{3}}}}$

Fração 2: 8/16 - MDC(8,16)

• Calculando mdc:

$\large\boxed{\boxed{\begin{array}{r|l}\rm 8,16&2~\checkmark\\\rm 4,8&2~\checkmark\\\rm 2,4&2~\checkmark\\\rm 1,2&2\\\rm 1,1\end{array}}}$

• Simplificando:

$\Large\boxed{\orange{\boxed{\bf\dfrac{8^{:8}}{16_{:8}}=\dfrac{1}{2}}}}$

Fração 3: 6/10 - MDC(6,10)

• Calculando mdc:

$\large\boxed{\boxed{\begin{array}{r|l}\rm 6,10&2~\checkmark\\\rm 3,5&3\\\rm 1,5\\\rm 1,1\end{array}}}$

• Simplificando:

$\Large\boxed{\orange{\boxed{\bf\dfrac{6^{:2}}{10_{:2}}=\dfrac{3}{5}}}}$

Fração 4: 40/50 - MDC(40,50)

• Calculando mdc:

$\large\boxed{\boxed{\begin{array}{r|l}\rm 40,50&2~\checkmark\\\rm 20,25&2\\\rm 10,25&2\\\rm 5,25&5~\checkmark\\\rm 1,5&5\\\rm 1,1\end{array}}}$

• Simplificando:

$\Large\boxed{\orange{\boxed{\bf\dfrac{40^{:10}}{50_{:10}}=\dfrac{4}{5}}}}$

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$\huge\boxed{\orange{\boxed{\mathbb{ATT.~LILAYY}}}}$