Question

Which is the best estimate for the product of 1/3 * 11 and 3/4

Answer 1

Tis very straightforwards, we simply multiply the numerators and denominators,

$\bf \cfrac{1}{3}\cdot 11\cdot \cfrac{3}{4}\implies \cfrac{1}{3}\cdot \cfrac{11}{1}\cdot \cfrac{3}{4}\implies \cfrac{1\cdot 11\cdot \underline{3}}{\underline{3}\cdot 1\cdot 4}\implies \cfrac{1\cdot 11\cdot 1}{1\cdot 1\cdot 4}\implies \cfrac{11}{4}\implies 2\frac{3}{4}$