Questions: Question 2 What is 11/17 ÷ 11/19? Question 3 What is 11/21 ÷ 2/9? Question 4 What is 7/15 ÷ 5/17? Question 5 What is 10/72 ÷ 2/11?

Solution Steps

To solve a division problem involving fractions, you multiply the first fraction by the reciprocal of the second fraction. This means you flip the numerator and denominator of the second fraction and then multiply the two fractions together.

We need to divide fractions for each question. The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.

For the expression \(\frac{11}{17} \div \frac{11}{19}\), we multiply \(\frac{11}{17}\) by the reciprocal of \(\frac{11}{19}\), which is \(\frac{19}{11}\).

\[ \frac{11}{17} \times \frac{19}{11} = \frac{11 \times 19}{17 \times 11} = \frac{19}{17} \]

For the expression \(\frac{11}{21} \div \frac{2}{9}\), we multiply \(\frac{11}{21}\) by the reciprocal of \(\frac{2}{9}\), which is \(\frac{9}{2}\).

\[ \frac{11}{21} \times \frac{9}{2} = \frac{11 \times 9}{21 \times 2} = \frac{99}{42} = \frac{33}{14} \]

For the expression \(\frac{7}{15} \div \frac{5}{17}\), we multiply \(\frac{7}{15}\) by the reciprocal of \(\frac{5}{17}\), which is \(\frac{17}{5}\).

\[ \frac{7}{15} \times \frac{17}{5} = \frac{7 \times 17}{15 \times 5} = \frac{119}{75} \]

Final Answer