Answer:
[tex]1\frac{3}{32}[/tex]
Step-by-step explanation:
[tex]5\frac{5}{6}\div \:5\frac{1}{3}[/tex]
First, before anything else, we need to convert both mixed numbers to improper fractions. To do that, multiply the denominator to the whole number, then add the result to the numerator.
[tex]5\frac{5}{6} = 6 \times5 =30+5 = 35\\\\35[/tex]
[tex]5\frac{1}{3} = 3 \times 5 = 15+1 = 16\\\\16[/tex]
Now we can start solving.
[tex]=\frac{35}{6}\div \frac{16}{3}[/tex]
According to the fraction rules, we have to apply the reciprocal of the value after the sign. (flip)
[tex]\frac{35}{6}\times \frac{3}{16}[/tex]
Multiply across
[tex]35\times 3=105\\\\6\times 16 = 48[/tex]
[tex]=\frac{105}{48}[/tex]
Simplify
[tex]\frac{105}{48}=2\frac{3}{16}[/tex]
Therefore, the answer is [tex]1\frac{3}{32}[/tex]. Look below
