Question Video: Ordering Rational Numbers | Nagwa Question Video: Ordering Rational Numbers | Nagwa

# Question Video: Ordering Rational Numbers Mathematics • First Year of Preparatory School

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Order these values from least to greatest: 8/2, 8/4, 8/6, 8/5.

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### Video Transcript

Order these values from least to greatest.

When trying to order fractions, we usually try and get a common denominator. We do this by finding the lowest common multiple of all the denominators. In this question, the lowest common multiple of two, four, six, and five is 60. We can use this to multiply the numerator and denominator of each fraction such that all the denominators become 60. We multiply the top and bottom of the first fraction by 30. This gives us 240 over 60.

We multiply the top and bottom of the second fraction by 15. This gives us 120 over 60. On the third fraction, we multiplied by 10. This gives us 80 over 60. And finally, we multiply the last fraction by 12 on the numerator and denominator. 12 multiplied by eight is 96. So we have 96 over 60. We can then order the fractions from least to greatest by looking at their numerators. The smallest numerator is 80. This is followed by 96. Next, we have 120, and finally the greatest numerator is 240. This means that the correct order from least to greatest is eight over six, eight over five, eight over four, and eight over two.

We could, however, have used a shortcut in this question as all of the numerators are the same. If the numerators of two or more fractions are the same, the greater the denominator, the smaller the fraction. As the largest denominator is six, this will correspond to the smallest or least fraction. Eight over five will come next, followed by eight over four and finally eight over two. This is the same order that we found when using a common denominator.

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