Which is bigger, [tex]0.45[/tex] or [tex]\frac{2}{5}[/tex]?
Answer (3)
The biggest out of the two possible answers is 0.45. 2/5 in decimal form is 0.4, or in percentage form becomes 40%. However, if 0.45 is changed into a fraction, it becomes 9/20 in its smallest form, which is difficult to compare. If we consider 0.45 as a percentage, however, it obviously becomes 45%, which is bigger than 40% so we can confirm that 0.45 is larger than 2/5.
To determine which is bigger, 0.45 or 2/5, you need to compare the two numbers. To facilitate the comparison, convert the fraction 2/5 to a decimal. Dividing 2 by 5 gives you 0.4. Now you have two decimals: 0.45 and 0.4. The next step is to compare them digit by digit. The first digit after the decimal in both numbers is a 4, so they are equal up to this point. However, 0.45 has a second digit (5) after the decimal, while 0.4 has none, which is equivalent to 0 (0.40). Therefore, 0.45 with a non-zero digit in the hundredths place is larger than 0.4, which means 0.45 is bigger than 2/5.
The value 0.45 is larger than 5 2 , as 5 2 converts to 0.4 in decimal form. Therefore, 0.4"> 0.45 > 0.4 .
;
