Question Video: Converting Fractions to Recurring Decimals to Solve Word Problems | Nagwa Question Video: Converting Fractions to Recurring Decimals to Solve Word Problems | Nagwa

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Question Video: Converting Fractions to Recurring Decimals to Solve Word Problems Mathematics • First Year of Preparatory School

Benjamin was told that he could have 1/3 or 0.34 of the total jam inside a jar. Convert 1/3 to a decimal, and determine which option would give Benjamin more jam.

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Video Transcript

Benjamin was told that he could have one-third or 0.34 of the total jam inside a jar. Convert one-third to a decimal, and determine which option would give Benjamin more jam.

In this question, we are given two possible proportions for the amount of jam that Benjamin can have. We want to compare the sizes of these two proportions. We could do this by rewriting both numbers as fractions with the same denominator. However, we are told to do this by first converting one-third into a decimal. We do this by typing one-third into the calculator by using the fraction button, then pressing equals. Finally, we press the S to D button to convert the output to a decimal to obtain the shown output.

We can write this as 0.3 recurring with the dot over the three since the three digit is repeating. However, it is not necessary to do this to compare the sizes of the portions. Instead, we can note that both decimals have the same integer part and the same first decimal digit. However, the second digit of one-third is lower than that of 0.34. So, it is the larger portion. Hence, one-third is equal to 0.3 recurring, and 0.34 is the option to give Benjamin more jam.

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