15/8 as a Decimal

Answer

15/8 as a decimal can be written as 1.875. It is a terminating decimal, showing it ends after a certain number of digits.

Explanation

To convert 15/8 into a decimal, we will use the division method. We will divide 15 by 8 to find the decimal representation. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 15 by 8. 8 goes into 15 one time, so we put 1 in the quotient place and subtract 8 from 15, leaving a remainder of 7.

Step 3: Bring down a 0, making it 70. Now, divide 70 by 8, which goes 8 times. Write 8 in the quotient, and subtract 64 from 70, leaving a remainder of 6.

Step 4: Bring down another 0, making it 60. Divide 60 by 8, which goes 7 times. Write 7 in the quotient, and subtract 56 from 60, leaving a remainder of 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times. Write 5 in the quotient, and subtract 40 from 40, leaving no remainder. Thus, the answer for 15/8 as a decimal is 1.875.

• 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.