Question

1/2 vs. 4/7 which is bigger

Answer 1

It is very obvious mate , that ..

$\frac{1}{2}$ = 0.5

and ,

$\frac{4}{7}$ = 0.571 ...

[ For seeing what the decimal expansions are , we need to divide both the numerators by their respective denominators . ]

To compare the decimal expansion , you need to see the numbers in their place value ..

Since , the digit in the hundredth place in the decimal expansion of 1/2 is '0' , whereas , that of 4/7 is '7' ,


Therefore , the decimal expansion of $\frac{1}{2}$ is less than , that of $\frac{4}{7}$ ,

Therefore , $\frac{1}{2}$ is smaller than $\frac{4}{7}$