Questions: Write the following decimal as a fraction or mixed number in lowest terms. 16.8 16.8=

Solution Steps

To convert the decimal 16.8 into a fraction or mixed number in lowest terms, we can follow these steps:

1. Separate the whole number part from the decimal part. Here, the whole number is 16.
2. Convert the decimal part (0.8) into a fraction. Since 0.8 is equivalent to 8/10, simplify this fraction to its lowest terms.
3. Combine the whole number and the simplified fraction to form a mixed number.

The given decimal is \(16.8\). We can separate this into a whole number part and a decimal part:

• Whole number part: \(16\)
• Decimal part: \(0.8\)

The decimal \(0.8\) can be expressed as a fraction: \[ 0.8 = \frac{8}{10} \] Simplify \(\frac{8}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\): \[ \frac{8}{10} = \frac{4}{5} \]

Combine the whole number part and the simplified fraction to form a mixed number: \[ 16 + \frac{4}{5} = 16 \frac{4}{5} \]

Final Answer