Question

Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction.

Answer 1

The answer is 33-5 !!

Answer 2

Answer: 33/5

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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