Step-by-step explanation:
DIVISION OF FRACTIONS
1.) \frac{7}{10}
10
7
÷ \frac{3}{5}
5
3
When dividing dissimilar fractions, get the reciprocal of the divisor and simplify.
\begin{gathered} \frac{7}{10} \div \frac{3}{5} = \frac{7}{10} \div \frac{5}{3} \\ \\ \frac{7}{10} \div \frac{5}{3} = \frac{35}{30} \end{gathered}
10
7
÷
5
3
=
10
7
÷
3
5
10
7
÷
3
5
=
30
35
To express in simplest form, divide both numerator and denominator by their G-CF.
\frac{35}{30} \div 5 = \frac{7}{6}
30
35
÷5=
6
7
The answer is \frac{7}{6}
6
7
.
2.) \frac{2}{5}
5
2
÷ \frac{6}{9}
9
6
Same process.
\begin{gathered} \frac{2}{5} \div \frac{6}{9} = \frac{2}{5} \div \frac{9}{6} \\ \\ \frac{2}{5} \div \frac{9}{6} = \frac{18}{30} \div 6 = \frac{3}{5} \end{gathered}
5
2
÷
9
6
=
5
2
÷
6
9
5
2
÷
6
9
=
30
18
÷6=
5
3
3/5 is the answer
