Question

How many fifths are in 6 4/5

Answer 1

34/5

Explanation:

The explanation is quite simple:

You take 6 and you multiply it by the denominator, which would be 5.

When that's done, take the remaining four, and add it to the newest quantity, which should give you 34.

Thus, there are 34 fifths in 6 4/5.

Answer 2

namely, how many times does 1/5 go into 6⅘?

`\bf \stackrel{mixed}{6(4)/(5)}\implies \cfrac{6\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{34}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{34}{5}/ \cfrac{1}{5}\implies \cfrac{34}{\underline{5}}\cdot \cfrac{\underline{5}}{1}\implies 34`