The fraction 6/100 can be written as which decimal
The Correct Answer and Explanation is:
The fraction 6/100 can be written as 0.06 in decimal form. Here’s why:
Conversion Process:
To convert a fraction into a decimal, you divide the numerator (the top number) by the denominator (the bottom number). In this case, the numerator is 6 and the denominator is 100.
- Set up the division:
You need to divide 6 by 100. This is represented as: 6÷1006 \div 1006÷100 - Perform the division:
Dividing 6 by 100 is straightforward:- 6 divided by 100 equals 0.06.
Decimal Placement:
When you divide 6 by 100, you move the decimal point two places to the left because 100 has two zeros. You can think of this as dividing the number 6 by 10 and then dividing the result by 10 again:
- First, dividing by 10 gives 0.6.
- Then dividing 0.6 by 10 gives 0.06.
Significance:
The decimal 0.06 is exactly the same as the fraction 6/100, because dividing the numerator by the denominator gives you the same value, just in a different format. This is a key concept in understanding how fractions and decimals are related.
By expressing 6/100 as 0.06, we can more easily use the number in calculations that require decimals, especially in contexts like measuring or comparing quantities where decimals are more practical than fractions.
Therefore, 6/100 = 0.06.
