Maya and Logan each made up a “Guess my Decimal” game just for you. Use their clues to determine the number.

1. Maya gives you this clue: “The decimal I am thinking of is $\mathit{3}$ tenths greater than $\mathit{80\%}$. What is my decimal?” Show your work.

   Hint (a):

   If we know that $80\%$ is $\frac{80}{100}$, which is equal to $\frac{8}{10}$, what number is $\frac{3}{10}$ more than that?

   Answer (a):

   Maya’s decimal is $1.1$. The fractions of this decimal is $\frac{11}{10}$ or $\frac{110}{100}$.

2. Logan continues the game with this clue: “My decimal is $\mathit{3}$ hundredths less than $\mathit{3}$ tenths.” Use pictures and/or words to show your thinking.

   Hint (b):

   Can you convert to $\frac{3}{10}$ hundredths? This will make it easier to subtract $\frac{3}{100}$ in order to find Logan’s fraction.

   More Help (b):

   If the fraction of Logan’s decimal is $\frac{27}{100}$, can you find the decimal?