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30 August, 12:38

What is 0.7, 0.755, 5/8 from least to greatest?

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  1. 30 August, 12:50
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    I like to start by turning all my numbers into the same form. You can go either way but I am going to turn the decimals into fractions. so 0.7 is the same as 7/10.

    0.755 is like 755/1000 which can be reduced to 151/200 (if you don't understand the convertions let me know i will explaine more.)

    Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that. 151/200 already has a denominator of 200 so that one is set.

    for 7/10 well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200

    the last one is 5/8 8 times 25 is 200 so multiply both numbers by 25 to get 125/200

    the fractionos we have are 125/200 151/200 and 140/200. Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

    125/200 140/200 151/200 now just replace the original number with the order they are placed in.

    125/200 was 5/8

    140/200 was 0.7

    151/200 was 0.755

    so the final answer is

    5/8, 0.7, 0.755
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