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$In Mila's class, 1//3 of her class has a brother. Of the students who have a brother, 1//2 of them also have a sister. What fraction of the students in Mila's class have a brother and a sister? Write in lowest terms and show your work.$

In Mila's class, $1 / 3$ of her class has a brother. Of the students who have a brother, $1 / 2$ of them also have a sister. What fraction of the students in Mila's class have a brother and a sister? Write in lowest terms and show your work.

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Multiply fractions: word problems

Full solution

Q. In Mila's class,

1 / 3

of her class has a brother. Of the students who have a brother,

1 / 2

of them also have a sister. What fraction of the students in Mila's class have a brother and a sister? Write in lowest terms and show your work.

Determine Fraction with Brother: Determine the fraction of the class that has a brother. $\newline$ We are given that $\frac{1}{3}$ of Mila's class has a brother.
Fraction with Brother and Sister: Determine the fraction of the students with a brother who also have a sister. $\newline$ We are given that $\frac{1}{2}$ of the students who have a brother also have a sister.
Calculate Both Siblings Fraction: Calculate the fraction of the class that has both a brother and a sister. $\newline$ To find this, we multiply the two fractions from Step $1$ and Step $2$ . $\newline$ $(\frac{1}{3}) \times (\frac{1}{2}) = \frac{1}{6}$
Check Lowest Terms: Check if the fraction is in the lowest terms. $\newline$ The fraction $\frac{1}{6}$ is already in the lowest terms because $1$ and $6$ have no common factors other than $1$ .

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