Question

Mr. McDowell bought a block of fudge that weighed 7/10 of a pound. He cut the fudge into 7 equal pieces. What was the weight of each piece of fudge?

Answer 1

Answer: 1/10 of a pound

Explanation:

The total weight was 7/10 of a pound. Cutting the fudge into 7 pieces implies dividing the fudge by 7.

7 is the same as 7/1.

When dividing fractions, we can multiply by the reciprocal. Essentially, we just flip the second number.

`(7)/(10)/7 =(7)/(10) / (7)/(1) =(7)/(10) *(1)/(7)`

We can multiply this out to 7/70 and then simplify to 1/10,

or we could first cross simplify by dividing the 7s out of the numerator and denominator before multiplying. Either way, your answer ends up being 1/10 of a pound.

Hope this helps!