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$Ramon has 6 whole oranges. He cut each whole into halves. Ramon gave away 2 halves. Which fraction shows the pieces Ramon gave away? (A) (1)/(2) (B) (2)/(2) (C) (2)/(6) (D) (12)/(2)$

Ramon has $6$ whole oranges. He cut each whole into halves. Ramon gave away $2$ halves. Which fraction shows the pieces Ramon gave away? $\newline$ (A) $\frac{1}{2}$ $\newline$ (B) $\frac{2}{2}$ $\newline$ (C) $\frac{2}{6}$ $\newline$ (D) $\frac{12}{2}$

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Grade 8

Write variable expressions: word problems

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Q. Ramon has

6

whole oranges. He cut each whole into halves. Ramon gave away

2

halves. Which fraction shows the pieces Ramon gave away?

\newline

(A)

\frac{1}{2}

\newline

(B)

\frac{2}{2}

\newline

(C)

\frac{2}{6}

\newline

(D)

\frac{12}{2}

Calculate Total Halves: Determine the total number of halves Ramon has after cutting $6$ whole oranges. $\newline$ Since each orange is cut into $2$ halves, we multiply the number of oranges by $2$ . $\newline$ $6$ oranges $\times 2$ halves per orange $= 12$ halves
Determine Halves Given Away: Determine the number of halves Ramon gave away. $\newline$ Ramon gave away $2$ halves.
Calculate Fraction: Calculate the fraction that represents the pieces Ramon gave away. $\newline$ The fraction is the number of pieces given away over the total number of pieces. $\newline$ The fraction is $2$ halves given away out of $12$ total halves. $\newline$ Fraction = ( $2$ given away) / ( $12$ total) = $\frac{2}{12}$
Simplify Fraction: Simplify the fraction, if possible. $\newline$ Both the numerator and the denominator of the fraction $\frac{2}{12}$ can be divided by $2$ . $\newline$ $\frac{2}{12} \div \frac{2}{2} = \frac{1}{6}$