63/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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 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 the 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.

What is 63/8 as a decimal?

$63/8 as a decimal$

Answer

63/8 in decimals can be written as 7.875. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 63/8 in decimal, we will use the division method. Here, 63 is larger than 8, so we 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 (63) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 63 by 8. The integer part of the division gives us the whole number.

Step 3: 8 goes into 63 a total of 7 times because 8 × 7 = 56. We write 7 in the quotient place.

Step 4: Subtract 56 from 63, which leaves a remainder of 7.

Step 5: Bring down a 0 to make it 70, then divide by 8 again. 8 goes into 70 a total of 8 times because 8 × 8 = 64.

Step 6: Subtract 64 from 70 to get a remainder of 6. Bring down another 0 to make it 60, and divide by 8. 8 goes into 60 a total of 7 times because 8 × 7 = 56.

Step 7: Subtract 56 from 60 to get a remainder of 4. Bring down another 0 to make it 40, and divide by 8. 8 goes into 40 a total of 5 times because 8 × 5 = 40. The process stops here as there is no remainder.

The answer for 63/8 as a decimal is 7.875.