Determine the quotient 2 4/7 / 1 3/6

2
4
7
÷
1
3
6
=
1
5
7
Explanation:
When you divide mixed fractions you first convert them to improper fractions. Further, dividing by a number
a
b
is equivalent to multiplying by its reciprocal i.e. for dividing by
a
b
, you multiply by
b
a
i.e. numerator and denominators reversed. Hence,
2
4
7
÷
1
3
6
=
2
×
7
+
4
7
÷
1
×
6
+
3
6
=
18
7
÷
9
6
=
18
7
×
6
9
=
2
18
7
×
6
1
9
=
2
×
6
7
=
12
7
=
1
×
7
+
5
7
=
1
5
7

and surely you know how much that is.