Table Of Contents
Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 63, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
63/4 in decimals can be written as 15.75. It is a terminating decimal.
To get 63/4 in decimal, we will use the division method. Here, 63 is larger than 4, so we can directly divide without needing to use a decimal point initially. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (63) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 63 by 4.
Step 3: 4 goes into 63 a total of 15 times (4 × 15 = 60). Write 15 in the quotient place.
Step 4: Subtract 60 from 63, which gives 3.
Step 5: Bring down a 0 to make it 30 and divide by 4 again.
Step 6: 4 goes into 30 a total of 7 times (4 × 7 = 28). Write 7 in the quotient place after the decimal point.
Step 7: Subtract 28 from 30, which gives 2. Bring down a 0 to make it 20.
Step 8: 4 goes into 20 exactly 5 times (4 × 5 = 20). Write 5 in the next decimal place. The process ends here as there is no remainder.
The answer for 63/4 as a decimal will be 15.75.