Question

How do you write $11\frac{39}{100}$ as a decimal?

Answer 1

Keeping the whole integer $11$ aside for now, we consider the fraction $\frac{39}{100}$. This canbe written also as:

$\frac{39.00}{100}$

since the addition of two zeroes after the decimal does not change the value.

Now, when dividing any number by a multiple of ten $\left(10\right)$, the method is simply to shift the decimal point to the left for every zero in the denominator.

Hence:

$\frac{39.00}{100}$ ecomes $\frac{39}{100}$ which is the same as $0.39$

Adding this to the whole integer $11$ we get:

$11.39$