![]() ![]() Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Parents can work with their children to give them extra practice, to help them learn a new math skill or to keep their skills fresh over school breaks. Teachers can use math worksheets as tests, practice assignments or teaching tools (for example in group work, for scaffolding or in a learning center). It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math. This math worksheet was created or last revised on and has been viewed 369 times this week and 672 times this month. Welcome to The Converting Terminating and Repeating Decimals to Fractions (A) Math Worksheet from the Fractions Worksheets Page at. Since $x$ is both equal to 0.44444… and $\dfrac$.Home Addition Worksheets Subtraction Worksheets Multiplication Facts Worksheets Long Multiplication Worksheets Division Worksheets Mixed Operations Worksheets Algebra Worksheets Base Ten Blocks Worksheets Decimals Worksheets Fact Families Worksheets Fractions Worksheets Geometry Worksheets Graph Paper Integers Worksheets Measurement Worksheets Money Math Worksheets Number Lines Worksheets Number Sense Worksheets Order of Operations Worksheets Patterning Worksheets Percents Worksheets Place Value Worksheets Powers of Ten Worksheets Statistics Worksheets Time Math Worksheets Math Word Problems Worksheets Halloween Math Worksheets Thanksgiving Math Worksheets Christmas Math Worksheets Valentine's Day Math Worksheets Saint Patrick's Day Math Worksheets Easter Math Worksheets Seasonal Math Worksheets Math Flash Cards Dots Math Game Video Tutorials Help and FAQ Terms of Use Privacy and Cookie Policy Tour/Introduction Feedback Teachers Parents Support Math-Drills Math-Drills on Facebook Ejercicios de Matemáticas Gratis Fiches d'Exercices de Maths Now, we subtract the first equation from the second equation. So, we multiply 10 on both sides of the first equation. So, we have $r=1$, since only one digit is repeated. We know that only digit 4 is repeated in the decimal. Let’s apply these steps to transform the recurring decimal 0.44444 as a fraction in the simplest form.įirst, we form the first equation by assigning $x$ equal to 0.444…. By doing this, we are able to simplify the numbers that we get so we could convert them into their respective fractions. Because the recurring decimals are nonterminating, we need to come up with a solution that we could eliminate the repeating terms in the decimal. We can see that the steps we need to take are far from how we transform a terminating decimal into a fraction. Solve for the value of $x$ from the resulting equation in the previous step. Subtract the first equation from the second equation. Form the second equation by multiplying $10^r$ on both sides of the first equation. Say $r$ is the number of the digits that forms a recurring pattern in the decimal. Count the digits in the pattern that is repeated throughout the decimal. Equate the decimal to a variable, say $x$, to form the first equation. A nonterminating decimal with repeating terms can be converted into its equivalent fraction by following these five easy steps.
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