Question

A seventh-grade class has reached 6/7 of its quota in a Read-a-Thon. An eighth-grade class has reached 7/8 of its quota. If both classes have the same quota, which class is closer to reaching its quota?

Answer 1

Eighth Grade (
`\frac78` )

Explanation:

The larger the denominator is, the smaller one "piece" of it is.
If we imagine a cake, for instance, then one piece of a cake that is split into 8 pieces would be smaller than a piece of a cake that is split into 7 pieces.

Therefore, if the piece is smaller, the closer the fraction is to being equal to 1, meaning,
`\frac78 > \frac67`