Answer: 33/5
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Step-by-step explanation:
Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.
So each small tickmark represents 1/5 of a unit.
The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5
The 6 is the whole part, while 3/5 is the fractional part.
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Let's convert to an improper fraction
6 & 3/5 = 6 + 3/5
6 & 3/5 = 6*(5/5) + 3/5
6 & 3/5 = 30/5 + 3/5
6 & 3/5 = (30+3)/5
6 & 3/5 = 33/5
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You could also use the formula
a & b/c = (a*c + b)/c
to get
6 & 3/5 = (6*5 + 3)/5
6 & 3/5 = 33/5