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# Use Algebraic Operations to Convert and Combine Fractions

ACTMAT-LBEVNJ

John is packing his belongings to be moved into his dorm room. He is almost finished and notices that he has two partially filled boxes left. One box is $\frac { 3 }{ 4 }$ full. The other box, which is twice as large as the first, is $\frac { 1 }{ 4 }$ full. He decides to combine the boxes into one.

Which box should he use, and how full will the box be?

A

The smaller box; it will be filled.

B

The larger box; it will be filled.

C

The larger box; it will be $\cfrac { 5 }{ 8 }$ full.

D

The larger box; it will be $\cfrac { 7 }{ 8 }$ full.

E

Neither box will hold all of the items.