# Explaining Problem Solving

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A. Find 12/25 divide by 1/5 in two different ways. Explain your methods.

b. Explain, using a diagram, how the following problems illustrate the two interpretations of division: partitive division ans measurement division.

i. A road crew repaves 1 1/2 miles of road each day. How long will it take the crew to pave a 3/4 mile stretch of road?

ii. A piece of coaxial cable 4/5 metre long is to be cut into eight pieces. What is the length of each piece?

https://brainmass.com/math/number-theory/explaining-problem-solving-14057

#### Solution Preview

See the attached file.

a.)

First method: traditional method:

(12/25)/(1/5) = 12*5/(1*25) = 60/25 = 12/5 = 2.4

Second method: Take the LCM of (12/25) and (1/5)

= LCM of ...

#### Solution Summary

The solution explaining different answers for problem solving is provided.

$2.49