Express each of the following as fraction is simplest form :
1.6

Answer

To express the decimal 1.6 as a fraction in its simplest form, follow these steps:

### Step 1: Write the decimal as a fraction
The decimal 1.6 can be expressed as:
\[ 1.6 = \frac{16}{10} \]
This is because there is one digit after the decimal point, which means we can multiply both the numerator and the denominator by 10.

### Step 2: Simplify the fraction
Now, we need to simplify the fraction \(\frac{16}{10}\). To do this, we find the greatest common divisor (GCD) of 16 and 10.

The factors of 16 are: 1, 2, 4, 8, 16
The factors of 10 are: 1, 2, 5, 10

The GCD of 16 and 10 is 2.

### Step 3: Divide both the numerator and the denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD (which is 2):
\[ \frac{16 \div 2}{10 \div 2} = \frac{8}{5} \]

### Step 4: Write the final answer
Thus, the decimal 1.6 expressed as a fraction in its simplest form is:
\[ \frac{8}{5} \]