converting repeating decimals to fractions pdf
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QuestionWork out the following addition. StepSubtract the equations to remove the repeating part of the imal. (1) Let x= (Removefor later; it is the whole number in the answer.) (2) Thenx= Converting Repeating imals to FractionsGreg GregsTutoringNYC@ * Any number with a repeating imal is a rational number Any number with a repeating imal can be written as a fraction * Consider i) Call the original number x ii) Get the last place-value position of x In this case theis in the tenths column Converting Repeating imals to Fractions. Converting a recurring imal to a fraction can be a stand alone exam question so it is certainly a skill you want to masterExample: Write\dot\dot7 as a fraction in its simplest from. Give each answer in its simplest form. ExampleConvert to a fraction. Here, both sides of the (original) equation were multiplied by so that the SAME repeating part of the number is immediately next to the imal. Name: Answer Key. Rewrite each infinitely repeating imal as a rational number (fraction))) f = f = Converting recurring imals to fractions: To convert a recurring imal to a fraction, two recurring imals with the same recurring part must be subtracted from QuestionConvert the following recurring imals to fractions. When there is a non-recurring digit after the imal point, multiply by, so that the recurring part is next to the imal point··=x = 0 Changing Repeating imals to Fractions Change to a fraction in simplest form. Name: Answer Key. Rewrite each infinitely repeating imal as a rational number (fraction))) f = f =,f = f =f =f = f =f = f = ⁄. QuestionWork out the following Give your answer as a simpliSied fractionArrange in order from smallest to largest Converting recurring imals to fractions: To convert a recurring imal to a fraction, two recurring imals with the same recurring part must be subtracted from one another. StepLet x represent the repeating imal. QuestionWork out the following addition. * Any number with a repeating imal is a rational number Any number with a repeating imal can be written as a fraction * Consider i) Call the original number x ii) Get Tags Converting Repeating imals to Fractions. x = x=\dot\dotStepMultiply both sides by \textcolor{blue}{10} for each imal There are two digits between the imal point andst repeated pattern, that is Multiply the given imal number by x = (1) There are five digits between the imal point and thend repeated pattern, that is Multiply the given imal number by repeating part of the number is immediately next to the imal. StepMake your number equal to x. Converting Repeating imals to Fractions Math Name imals to Fractions Videos and on QuestionConvert the following imals to fractions, in their simplest forms (a) (b) (c) (d) Write each as a fraction))))))))))) Convert Recurring imals to Fractions. For example, = \frac {} Rewrite each infinitely repeating imal as a rational number (fraction). StepMultiply both sides of the equation by,,, etc.-x = x = StepBring down original equation and subtract both sides. StepMultiply by powers of 1,, or to createequations that isolate the repeating part of the imal. Give each answer in its simplest form. Give your answer as a Converting terminating imals into fractions is straightforward: multiplying and dividing by an appropriate power of ten does the trick. StepSolve the resulting equation and simplify the fraction QuestionConvert the following recurring imals to fractions. f = ⁄)) f = f = NOTES: Converting a Repeating imal into a Fraction Look at some patterns of repeating imals̅=̅=̅= StepLet equal the repeating imal. Give your answer as a simpliSied fraction. Cut along the dotted lines and glue into your notebook.
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