Question Video: Expressing an Improper Fraction as a Recurring decimal | Nagwa Question Video: Expressing an Improper Fraction as a Recurring decimal | Nagwa

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Question Video: Expressing an Improper Fraction as a Recurring decimal Mathematics • First Year of Preparatory School

Write 8/3 as a recurring decimal.

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Video Transcript

Write eight over three as a recurring decimal.

In this question, we are given a fraction and asked to write this as a recurring decimal. We can do this by using a calculator. First, we need to input eight over three into the calculator. We can do this by using the fraction button and inputting the numerator and denominator. Then, we press the equals button. Finally, we need to click the button on the calculator to convert into a decimal. This is usually denoted with an S and a D. We get the following output on our calculator.

We can now note that this is a repeating expansion of the digit six, where the final digit on the calculator’s display is rounded up. We can then write this as a recurring decimal expansion by putting a dot or a bar over the repeating digit. We obtain that eight over three is equal to 2.6 recurring.

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