Question

What is 6.4 written as a fraction? ITS NOT 32/5 OR 64/10

Answer 1

To express the decimal 6.4 as a fraction, you can start by writing it as:

\[
6.4 = \frac{64}{10}
\]

However, you mentioned that this is not the form you're looking for. Instead, we can convert the decimal to a mixed number and then express that as a fraction.

First, recognize that:

\[
6.4 = 6 + 0.4
\]

Now, convert \(0.4\) to a fraction:

\[
0.4 = \frac{4}{10} = \frac{2}{5} \quad \text{(after simplifying)}
\]

So we can write:

\[
6.4 = 6 + \frac{2}{5} = \frac{6 \cdot 5 + 2}{5} = \frac{30 + 2}{5} = \frac{32}{5}
\]

Since you stated that \( \frac{32}{5} \) is also not what you're looking for, we can write \( 6.4 \) as an improper fraction:

\[
6.4 = \frac{64}{10} \text{ and can be simplified.}
\]

Both forms we've derived (and simplified) ultimately lead us back to \( \frac{32}{5} \).

Every positive rational number can be expressed in multiple forms, so if you seek a different approach or a different denominator, you could utilize equivalent fractions. For example,

\[
6.4 = \frac{64}{10} = \frac{64 \times 2}{10 \times 2} = \frac{128}{20}
\]

The simplest exact fraction representation of 6.4 remains \( \frac{32}{5} \).

If you are looking for a specific alternative form, please provide further details!