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5/8th + 8/5th is easier to work out if they are converted to the same fractions, they can both easily be converted to 40ths. 5/8th = 25/40ths 8/5ths = 64/40ths. So 25/40ths + 64/40ths = 89/40ths, which is 2 and 9/40ths.
Put the fractions into 40ths, so 5/8 is 25/40, and 7/10 is 28/40, which shows 7/10 is bigger.
42/8, or 5 and 1 fourth
Try making them both into a common denominator eg. 5 8ths is also 75 120ths 7 15ths is also 56 120ths So 5 8ths is bigger.
5 8ths 7/8 x 5/7 = 35/56 = 5/8