23/8 as a Decimal

Answer

23/8 in decimals can be written as 2.875. It is a terminating decimal, which means it ends after a certain number of digits.

Explanation

To get 23/8 in decimal, we will use the division method. Here, as 23 is larger than 8, we will perform the division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 23 by 8. The whole number part of the quotient will be the integer portion of the decimal.

Step 3: 8 goes into 23 two times (8 × 2 = 16), so we write 2 in the quotient place. Step 4: Subtract 16 from 23, which gives 7.

Step 5: Bring down a 0 to make it 70, then divide 70 by 8. 8 goes into 70 eight times (8 × 8 = 64).

Step 6: Write 8 in the quotient place after the decimal point and subtract 64 from 70, which gives 6.

Step 7: Bring down another 0 to make it 60, then divide 60 by 8. 8 goes into 60 seven times (8 × 7 = 56).

Step 8: Write 7 in the quotient place and subtract 56 from 60, which gives 4.

Step 9: Bring down another 0 to make it 40, then divide 40 by 8. 8 goes into 40 five times (8 × 5 = 40).

Step 10: Write 5 in the quotient place, and now the remainder is 0.

The answer for 23/8 as a decimal will be 2.875.

• 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.