How to convert 5/8 into a decimal

Steps to Solve

1. Set up the division Start by dividing the numerator (5) by the denominator (8). This sets up the basic division problem:

$$ 5 \div 8 $$

2. Perform the division Since 5 is less than 8, we can add a decimal point and a zero to the numerator to continue the division. We rewrite 5 as 5.0 (or 5.00, etc.), allowing us to divide:

$$ 5.0 \div 8 $$

3. Calculate the quotient When dividing, we find that 8 goes into 50 six times (since $8 \times 6 = 48$). Write down the 6 after the decimal point:

$$ 0.6 $$

4. Subtract and continue Subtract 48 from 50 to get 2. Bring down the next zero, making it 20. Now we continue dividing:

$$ 20 \div 8 $$

5. Find the next digit 8 goes into 20 two times (since $8 \times 2 = 16$). Write down the 2:

$$ 0.62 $$

6. Repeat until satisfied Subtract 16 from 20 to get 4. Bring down another zero to make it 40. Then divide again:

$$ 40 \div 8 $$

8 goes into 40 five times (since $8 \times 5 = 40$). Write down the 5:

$$ 0.625 $$

7. Final result Since there are no more remainders, we conclude that the decimal form of ( \frac{5}{8} ) is:

$$ 0.625 $$