9/75 as a Decimal

Professor Greenline Explaining Math Concepts

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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: numerator (number on the top) here, 9 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 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 9/75 as a decimal?

$9/75 as a decimal$

Answer

9/75 in decimals can be simplified and written as 0.12. It is a terminating decimal, indicating it ends after a specific number of digits.

Explanation

To convert 9/75 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 (9) will be taken as the dividend and the denominator (75) will be taken as the divisor.

Step 2: Since 9 is smaller than 75, it can't be divided directly; we will use decimals. We will add 0 to the dividend, making it 90, and add a decimal point in the quotient place.

Step 3: Now that it is 90, we can divide it by 75. Let's see how many times 75 fits into 90.

Step 4: 75 goes into 90 once (1), so we write 1 in the quotient place. Subtracting 75 from 90 gives us 15.

Step 5: Bring down another 0 to make it 150. Divide 150 by 75, which goes exactly 2 times. Write 2 in the quotient place. The division process completes as the remainder is 0.

The answer for 9/75 as a decimal is 0.12.