Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
We want to simplify;
[tex]\frac{7}{3}\div6[/tex]
This can be rewritten as;
[tex]\frac{7}{3}\div \frac{6}{1}[/tex]
We multiply by the reciprocal of the second fraction to obtain;
[tex]\frac{7}{3}\times \frac{1}{6}[/tex]
We multiply to get;
[tex]=\frac{7\times1}{3\times6}[/tex]
[tex]=\frac{7}{18}[/tex]
7
3
÷
6
7
3
÷
6
Rewrite the division as a fraction.
7
3
6
7
3
6
Multiply the numerator by the reciprocal of the denominator.
7
3
⋅
1
6
7
3
⋅
1
6
Simplify
7
3
⋅
1
6
7
3
⋅
1
6
.
Multiply
7
3
7
3
and
1
6
1
6
.
7
3
⋅
6
7
3
⋅
6
Multiply
3
3
by
6
6
.
7
18
7
18
The result can be shown in multiple forms.
Exact Form:
7
18
7
18
Decimal Form:
0.3
¯
8
0.38‾
