Question

tijdens een rekens examen haalde \\( \frac{2}{5} \\) deel van de groep studenten een voldoende. \\( \frac{1}{6} \\) deel daarvan haalde een 7 of hoger.
welke deel van de studenten haalde een 7 of hoger?
\\( \bigcirc \\) \\( \frac{1}{10} \\) deel
\\( \bigcirc \\) \\( \frac{1}{15} \\) deel
\\( \bigcirc \\) \\( \frac{2}{11} \\) deel
\\( \bigcirc \\) \\( \frac{3}{11} \\) deel

Explanation:

Step1: Identify the fractions to multiply

We know that \(\frac{2}{5}\) of the students passed, and \(\frac{1}{6}\) of those who passed got a 7 or higher. So we need to find \(\frac{1}{6}\) of \(\frac{2}{5}\), which means multiplying the two fractions: \(\frac{2}{5} \times \frac{1}{6}\).

Step2: Multiply the numerators and denominators

When multiplying fractions, we multiply the numerators together and the denominators together. So, \(2 \times 1 = 2\) (numerator) and \(5 \times 6 = 30\) (denominator). This gives us \(\frac{2}{30}\).

Step3: Simplify the fraction

We can simplify \(\frac{2}{30}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, \(\frac{2 \div 2}{30 \div 2} = \frac{1}{15}\).

Answer:

\(\frac{1}{15}\) deel (corresponding to the option \(\boldsymbol{\frac{1}{15}}\) deel)