Converting Fraction to Decimal: Solve 8/5 Step by Step

To solve this problem, we'll focus on converting the fraction $\frac{8}{5}$ into a decimal. Let's follow these steps:

• Step 1: Direct division of the numerator by the denominator.
• Step 2: Alternative approach - adjusting the fraction to a denominator of 100.
• Step 3: Verification through comparison of methods.

Now, let's work through each step:

Step 1: Divide 8 by 5. Performing this division,

$\frac{8}{5} = 8 \div 5 = 1.6$.

Step 2: Alternatively, adjust to a denominator of 100. Multiply both the numerator and the denominator by 20:

$\frac{8}{5} = \frac{8 \times 20}{5 \times 20} = \frac{160}{100}$.

Converting $\frac{160}{100}$ to a decimal gives us 1.6.

Through both methods, we verify that the decimal representation of $\frac{8}{5}$ is 1.6.

Thus, the solution to the problem is 1.6.