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?
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[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:
- 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:
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]
