Out of a class of 150 students, two-fifths opted for German classes and one-third opted for Italian classes. The remaining opted for French. What fraction opted for French?

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05-11-2021
Mathematics

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Out of a class of 150 students, two-fifths opted for German classes and one-third opted for Italian classes. The remaining opted for French. What fraction opted for French?

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Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2021-11-10T04:44:29-05:00

Fraction of students that opted for French = [tex]\frac{4}{15}[/tex]

The total number of students = 150

Fraction of students that opted for German = [tex]\frac{2}{5}[/tex]

Fraction of students that opted for Italian = [tex]\frac{1}{3}[/tex]

Fraction of students that opted for French = 1 - Fraction of students that opted for German - Fraction of students that opted for Italian

Fraction of students that opted for French = [tex]1-\frac{2}{5} - \frac{1}{3}[/tex]

Fraction of students that opted for French = [tex]\frac{15-6-5}{15}[/tex]

Fraction of students that opted for French = [tex]\frac{4}{15}[/tex]

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