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Last updated on March 4th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 15, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
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.
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.