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\frac{3\times 5}{8}=\frac{15}{8}\text{ and }\frac{15}{8}=\frac{1\times 8+7}{8}
Express 3\times \frac{5}{8} as a single fraction.
\frac{15}{8}=\frac{15}{8}\text{ and }\frac{15}{8}=\frac{1\times 8+7}{8}
Multiply 3 and 5 to get 15.
\text{true}\text{ and }\frac{15}{8}=\frac{1\times 8+7}{8}
Compare \frac{15}{8} and \frac{15}{8}.
\text{true}\text{ and }\frac{15}{8}=\frac{8+7}{8}
Multiply 1 and 8 to get 8.
\text{true}\text{ and }\frac{15}{8}=\frac{15}{8}
Add 8 and 7 to get 15.
\text{true}\text{ and }\text{true}
Compare \frac{15}{8} and \frac{15}{8}.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.