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  • 22-05-2020
  • Mathematics
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write the fraction 42/30 in simplest form

Respuesta :

CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 22-05-2020

Answer:

The answer is 7/5.

Step-by-step explanation:

First you have to find the factors of 42 and 30 :

[tex]42 = 1 \times 42 \\ 42 = 2 \times 21 \\ 42 = 3 \times 14 \\ 42 = 6 \times 7[/tex]

[tex]30 = 1 \times 30 \\ 30 = 2 \times 15 \\ 30 = 3 \times 10 \\ 30 = 5 \times 6[/tex]

Given that the common factors of 42 and 30 are 1, 2, 3, 6. So you have to choose the highest factor which is 6. Next you can divide both by 6 :

[tex] \frac{42}{30} [/tex]

[tex] = \frac{42 \div 6}{30 \div 6} [/tex]

[tex] = \frac{7}{5} [/tex]

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