### Home > CC1 > Chapter 3 > Lesson 3.1.5 > Problem3-74

3-74.

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

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.

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

$\text{Maya's decimal is 1.1. The fraction of this decimal is } \frac{11}{10}\text{ or }\frac{110}{100}.$

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.

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

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