Write the fractions as decimal numbers:
`(5)/(8)`

Answer

To convert the fraction \( \frac{5}{8} \) into a decimal number, we will perform the division of 5 by 8. Here’s the step-by-step solution:

### Step 1: Set up the division
We need to divide 5 by 8. Since 5 is less than 8, we will write this as \( 5.000 \) (adding decimal places) to facilitate the division.

**Hint:** When the numerator is smaller than the denominator, add a decimal point and zeros to the numerator.

### Step 2: Divide 8 into 5
8 cannot go into 5, so we write 0 before the decimal point. Now we look at 50 (the first zero after the decimal).

**Hint:** If the numerator is less than the denominator, write 0 before the decimal point.

### Step 3: Divide 8 into 50
8 goes into 50 six times (since \( 8 \times 6 = 48 \)). We write 6 after the decimal point.

**Hint:** Multiply the divisor (8) by the largest whole number that fits into the current dividend (50).

### Step 4: Subtract
Now, we subtract \( 48 \) from \( 50 \) which gives us \( 2 \).

**Hint:** Always subtract the product from the current dividend to find the remainder.

### Step 5: Bring down the next zero
Next, we bring down another zero, making it \( 20 \).

**Hint:** When you have a remainder, bring down a zero to continue the division.

### Step 6: Divide 8 into 20
8 goes into 20 two times (since \( 8 \times 2 = 16 \)). We write 2 next to the 6.

**Hint:** Again, find how many times the divisor fits into the new dividend.

### Step 7: Subtract again
Now, subtract \( 16 \) from \( 20 \) which gives us \( 4 \).

**Hint:** Keep track of your remainders after each subtraction.

### Step 8: Bring down another zero
Bring down another zero, making it \( 40 \).

**Hint:** Continue bringing down zeros until you reach the desired decimal places.

### Step 9: Divide 8 into 40
8 goes into 40 five times (since \( 8 \times 5 = 40 \)). We write 5 next to the 62.

**Hint:** Always check how many times the divisor can fit into the current dividend.

### Step 10: Final subtraction
Now, subtract \( 40 \) from \( 40 \) which gives us \( 0 \).

**Hint:** If you reach a remainder of 0, you can stop the division.

### Conclusion
The quotient we obtained is \( 0.625 \). Therefore, \( \frac{5}{8} = 0.625 \).

**Final Answer:** \( \frac{5}{8} = 0.625 \)

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