Question

divide. show your work for problems 1-6:
1 ( 9 div \frac{4}{5} )
2 ( 6 div \frac{2}{5} )
3 ( 7 div \frac{3}{7} )
4 ( 1 div \frac{2}{3} )
5 ( 2 div \frac{4}{9} )
6 ( 8 div \frac{4}{7} )

Explanation:

Problem 1: \( 9 \div \frac{4}{5} \)

Step 1: Recall division of fractions rule

To divide by a fraction, multiply by its reciprocal. So, \( 9 \div \frac{4}{5}=9\times\frac{5}{4} \)

Step 2: Multiply the whole number and the fraction

\( 9\times\frac{5}{4}=\frac{9\times5}{4}=\frac{45}{4} = 11\frac{1}{4}\)

Step 1: Apply division of fractions rule

\( 6\div\frac{2}{5}=6\times\frac{5}{2} \)

Step 2: Simplify and multiply

\( 6\times\frac{5}{2}=\frac{6\times5}{2}=\frac{30}{2} = 15\)

Step 1: Use division of fractions rule

\( 7\div\frac{3}{7}=7\times\frac{7}{3} \)

Step 2: Multiply the whole number and the fraction

\( 7\times\frac{7}{3}=\frac{7\times7}{3}=\frac{49}{3}=16\frac{1}{3} \)

Answer:

\( \frac{45}{4} \) (or \( 11\frac{1}{4} \))

Problem 2: \( 6 \div \frac{2}{5} \)