jerIeneespIana27
Answered

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I got 12 mangoes from a basket of 30 mangoes. What fraction of the mangoes did I get?​

Sagot :

NoahBadilla

FRACTION

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[tex]\large\underline{\mathbb{PROBLEM}:}[/tex]

I got 12 mangoes from a basket of 30 mangoes. What fraction of the mangoes did I get?​

[tex]\\[/tex]

[tex]\large\underline{\mathbb{SOLUTION}:}[/tex]

To find the number of mangoes you got, divide the number of mangoes you got by the number of mangoes in the basket.

Givens are:

  • You got 12 mangoes
  • The mangoes in the basket is 30

So our fraction will be:

  • [tex]\boxed{ \: \: \dfrac{12}{30} \: \: }[/tex]

To find the number of mangoes you got, we have to divide both numerator and denominator by their Greatest Common Factor.

The factors of 12 are:

  • 1, 2, 3, 4, 6, 12

The factors of 30 are:

  • 1, 2, 3, 5, 6, 10, 15, 30

The Greatest Common Factor of 12 and 30 is 6. Divide 12 and 30 by 6 to get the fraction of the mangoes you got.

  • [tex]\rm{Fraction \: of \: mangoes = \dfrac{12}{30}}[/tex]

  • [tex]\rm{Fraction \: of \: mangoes = \dfrac{12 \div 6}{30 \div 6}}[/tex]

  • [tex]\rm{Fraction \: of \: mangoes = \green{\dfrac{2}{5}}}[/tex]

Hence, the simplified fraction of the mangoes you got is 2/5.

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[tex]\large{\boxed{\tt{\blue{06/22/2024}}}}[/tex]

ericjhonsantong

Answer:

2/5

Step-by-step explanation:

12/30 to lowest term is 2/5.

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