Solve 49:(7:(4/3:7)) - Nested Division with Fractions

First, we rewrite the multiplication exercise in the innermost parentheses as a fraction:

$49:(7:(\frac{4}{3}\times\frac{1}{7}))=$

We multiply the fractions and combine them since it is just a multiplication operation:

$49:(7:\frac{4\times1}{3\times7})=$

Now we invert the fraction to create a multiplication exercise:

$49:(7\times\frac{3\times7}{4\times1})=$

We add the 7 to the numerator of the fraction in the multiplication exercise:

$49:\frac{7\times3\times7}{4\times1}=$

We invert the fraction to create a multiplication exercise:

$49\times\frac{4\times1}{7\times3\times7}=$

We add the 49 to the numerator of the fraction in the multiplication exercise:

$\frac{49\times4\times1}{7\times3\times7}=$

We break down the 49 into a smaller multiplication exercise:

$\frac{7\times7\times4\times1}{7\times3\times7}=$

We simplify the 7 in the numerator and denominator:

$\frac{4\times1}{3}=\frac{4}{3}=1\frac{1}{3}$