19/8 as a Decimal

Answer

19/8 in decimals can be written as 2.375. It is a terminating decimal, meaning the division ends after a few decimal places.

Explanation

To get 19/8 in decimal, we will use the division method. Here, 19 is larger than 8, so we can 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 (19) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 19 by 8. Since 19 is larger than 8, we proceed with the division.

Step 3: 8 goes into 19 two times, as 2 × 8 = 16. Write 2 in the quotient place.

Step 4: Subtract 16 from 19, which gives 3.

Step 5: Bring down a 0 to make it 30, and divide by 8. 8 goes into 30 three times, as 3 × 8 = 24. Write 3 in the quotient place.

Step 6: Subtract 24 from 30, which gives 6.

Step 7: Bring down another 0 to make it 60, and divide by 8. 8 goes into 60 seven times, as 7 × 8 = 56. Write 7 in the quotient place.

Step 8: Subtract 56 from 60, which gives 4.

Step 9: Bring down another 0 to make it 40, and divide by 8. 8 goes into 40 five times, as 5 × 8 = 40. Write 5 in the quotient place. The division process ends here as the remainder becomes 0.

Therefore, the answer for 19/8 as a decimal is 2.375.

• 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 after a certain number of decimal places.