Write 37/100 as a decimal

The Correct Answer and Explanation is:

To convert the fraction 37/100 into a decimal, follow these steps:

Step 1: Understand the Fraction

The fraction 37/100 means that 37 is divided by 100. The denominator (100) indicates that this fraction is out of 100, which makes it easy to convert directly into a decimal.

Step 2: Division Process

To convert a fraction into a decimal, you can perform division. In this case, divide 37 by 100.

37 ÷ 100 = 0.37

Step 3: Decimal Form

The result of dividing 37 by 100 is 0.37. This is the decimal representation of the fraction 37/100.

Explanation of the Conversion

The reason this conversion is straightforward is because the denominator of 100 suggests that the decimal will have two places. When you divide by 100, you move the decimal point two places to the left. Here’s how the process works step by step:

Start with the number 37.
Place a decimal point at the end of 37, making it 37.0.
Since the denominator is 100, we know the decimal point will move two places to the left.
Moving the decimal two places, you get 0.37.

This method works because dividing by powers of 10 (like 10, 100, or 1000) directly impacts the position of the decimal point. For example:

Dividing by 10 moves the decimal point one place to the left.
Dividing by 100 moves it two places, as shown in this case.

Final Answer:

The decimal equivalent of 37/100 is 0.37.

Key Points to Remember:

Fractions with denominators of 10, 100, or 1000 are especially easy to convert to decimals because they directly correspond to shifting the decimal point.
In this case, 100 means the decimal point moves two places to the left.