Simplification of Decimal Fractions

In this problem, we need to verify if the fraction twenty-three point four divided by fifty-eight point five indeed equals zero point four.

Let's write down the expression clearly. We have twenty-three point four over fifty-eight point five.

To make this easier to calculate, we can multiply both the numerator and the denominator by ten to remove the decimals.

Now we can try to simplify this fraction. Notice that both numbers are divisible by nine because the sum of their digits is a multiple of nine.