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\frac{15+3}{5}\times 5=\frac{15\times 5+15}{5}\text{ and }\frac{15\times 5+15}{5}=18
Multiply 3 and 5 to get 15.
\frac{18}{5}\times 5=\frac{15\times 5+15}{5}\text{ and }\frac{15\times 5+15}{5}=18
Add 15 and 3 to get 18.
18=\frac{15\times 5+15}{5}\text{ and }\frac{15\times 5+15}{5}=18
Cancel out 5 and 5.
18=\frac{75+15}{5}\text{ and }\frac{15\times 5+15}{5}=18
Multiply 15 and 5 to get 75.
18=\frac{90}{5}\text{ and }\frac{15\times 5+15}{5}=18
Add 75 and 15 to get 90.
18=18\text{ and }\frac{15\times 5+15}{5}=18
Divide 90 by 5 to get 18.
\text{true}\text{ and }\frac{15\times 5+15}{5}=18
Compare 18 and 18.
\text{true}\text{ and }\frac{75+15}{5}=18
Multiply 15 and 5 to get 75.
\text{true}\text{ and }\frac{90}{5}=18
Add 75 and 15 to get 90.
\text{true}\text{ and }18=18
Divide 90 by 5 to get 18.
\text{true}\text{ and }\text{true}
Compare 18 and 18.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.