63/75 as a Decimal

Professor Greenline Explaining Math Concepts

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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, 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 75. 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.

What is 63/75 as a decimal?

$63/75 as a decimal$

Answer

63/75 in decimals can be written as 0.84. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 63/75 into a decimal, we will use the division method. 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 (75) will be taken as the divisor.

Step 2: Since 63 is smaller than 75, we will take the help of decimals. We will add a decimal point in the quotient place and add 0 to the dividend, making it 630.

Step 3: Now that it is 630, we can divide it by 75. Let's see how many times 75 makes 630.

Step 4: 630 divided by 75 gives 8 with a remainder. Multiply 75 by 8, which equals 600. Subtract 600 from 630 to get 30.

Step 5: Bring down another 0 in the dividend place, making it 300. Divide 300 by 75 to get 4. Multiply 75 by 4, which equals 300. Subtract 300 from 300, resulting in a remainder of 0. The division process ends here as we get the remainder as 0.

The answer for 63/75 as a decimal will be 0.84.