67/100 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 from the whole. It has two parts, numerator (number on the top) here, 67 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 67/100 as a decimal?

$67/100 as a decimal$

Answer

67/100 in decimals can be written as 0.67. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 67/100 in decimal, we will use the division method. Since 67 is smaller than 100, the result will be less than 1. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (67) will be taken as the dividend and the denominator (100) will be taken as the divisor.

Step 2: As 67 is smaller than 100, it can't be divided to give a whole number, so we will take the help of decimals. We will add a decimal point in the quotient place.

Step 3: Now divide 67 by 100. Since 100 goes 0 times into 67, we add a decimal point and a zero to the quotient, making it 0.

Step 4: Multiply the quotient 0 by 100 to get 0 and subtract from 67 to get 67. Bring down another 0 to make it 670.

Step 5: 100 goes into 670 six times (100 * 6 = 600), so we put 6 in the quotient place after the decimal. Subtract 600 from 670 to get 70.

Step 6: Bring down another 0 to make it 700. 100 goes into 700 exactly seven times (100 * 7 = 700), so we put 7 in the quotient after the 6. The division process ends, resulting in a terminating decimal.

The answer for 67/100 as a decimal is 0.67.