Fill in the blank with <, = or >. 9/10 ___ 0.89

Answer

To compare the fraction 9/10 and the decimal 0.89, it is best to convert them to the same format. Method 1: Convert the fraction to a decimal. To convert 9/10 to a decimal, divide 9 by 10. 9 $\div$ 10 = 0.9. Now, compare 0.9 and 0.89. To make them easier to compare, you can add a placeholder zero to 0.9 so they have the same number of decimal places: 0.90 versus 0.89. Since 0.90 is greater than 0.89, 9/10 > 0.89. Method 2: Convert the decimal to a fraction. 0.89 can be written as 89/100. To compare 9/10 to 89/100, find a common denominator. The fraction 9/10 is equivalent to (9 $\times$ 10) / (10 $\times$ 10) = 90/100. Comparing 90/100 and 89/100, we see that 90/100 is larger. Therefore, the correct symbol is >. Final answer: 9/10 > 0.89