5/8 as a Decimal

Answer

5/8 in decimals can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.
 

Explanation

To convert 5/8 into a decimal, we will use the division method. Since 5 is smaller than 8, we will use the decimal method to find the answer 0.625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (8) will be the divisor.

Step 2: As 5 is smaller than 8, it can't be divided, so we will use decimals. We will add 0, making 5 into 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 8. Let's see how many times 8 fits into 50.

Step 4: 8 goes into 50 six times because 8 × 6 = 48. We write 6 in the quotient place and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0 in the dividend place to make it 20, and continue the division process.

Step 6: 8 goes into 20 two times because 8 × 2 = 16. Write 2 in the quotient place and subtract 16 from 20, leaving 4.

Step 7: Bring down another 0 to make it 40, and continue. 8 goes into 40 five times because 8 × 5 = 40. Subtracting gives a remainder of 0, ending the division process.

The answer for 5/8 as a decimal is 0.625.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.