Converting 5/4 to Decimal Form: Fraction Division Guide

To solve this problem, we'll follow these steps:

• Step 1: Directly divide the numerator by the denominator.
• Step 2: Perform long division to find the decimal equivalent.
• Step 3: Use equivalent fractions to line up the denominator with a power of 10, like 100.

Now, let's work through each step:

Step 1: The fraction given is $\frac{5}{4}$.

Step 2: Perform the long division:
Divide 5 by 4:

• 4 goes into 5 once, which gives us a whole number of 1. The remainder is 1.
• Bring down a 0 to make 10; 4 goes into 10 twice, giving a decimal value 2 (0.2) and a remainder of 2.
• Bring down another 0 to make 20; 4 goes into 20 exactly 5 times, completing the calculation with no remainder.

This results in a decimal value of 1.25.

Step 3: Convert it to a fraction with a denominator of 100:
- Multiply by 25 to make an equivalent fraction $\frac{5 \times 25}{4 \times 25} = \frac{125}{100}$, which directly converts to 1.25 in decimal.

Therefore, the solution to the problem is 1.25.