31/8 as a Decimal

Answer

31/8 in decimals can be written as 3.875. It is a terminating decimal.

Explanation

To convert 31/8 into a decimal, we will use the division method. Here, 31 is larger than 8, so we can divide directly without needing to adjust with a decimal initially.

Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 31 by 8.

Step 3: 8 goes into 31 three times because 8 × 3 = 24. Write 3 in the quotient place.

Step 4: Subtract 24 from 31, which gives 7.

Step 5: Bring down a 0 to make it 70. Now divide 70 by 8.

Step 6: 8 goes into 70 eight times because 8 × 8 = 64. Write 8 in the quotient place after the decimal.

Step 7: Subtract 64 from 70, which gives 6.

Step 8: Bring down another 0 to make it 60. Now divide 60 by 8.

Step 9: 8 goes into 60 seven times because 8 × 7 = 56. Write 7 in the quotient place.

Step 10: Subtract 56 from 60, which gives 4.

Step 11: Bring down another 0 to make it 40. Now divide 40 by 8.

Step 12: 8 goes into 40 five times because 8 × 5 = 40. Write 5 in the quotient place.

The answer for 31/8 as a decimal will be 3.875.

• 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. ---