#### Answer

$40 \frac{5}{6}$

#### Work Step by Step

$76 \frac{1}{12} - 35 \frac{1}{4}$ (Make both fractions share a denominator of 12 to subtract them **Note that we took 1 away from 76 and added it to the fraction making it $\frac{13}{12}$**)
= $75 \frac{13}{12} - 35 \frac{3}{12}$ (Now subtract the whole numbers and the factions separately)
$75 - 35 = 40$
$\frac{13}{12} - \frac{3}{12} = \frac{10}{12} = \frac{5}{6}$
Now put the fraction and whole number back together, giving you the answer:
$40 \frac{5}{6}$