SOLUTION:
Case: Division of a whole number by a fraction with logical reason
Required: Find 12 divide 3/5
Method:
[tex]\begin{gathered} 12\div\frac{3}{5} \\ \text{Taking }\frac{3}{5}\text{ in fives will sum up to 3. i.e }\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}=\text{ }\frac{15}{5}\Rightarrow3 \\ \text{Hence }\frac{3}{5}\text{ in tens will sum up to 6} \\ \text{Therefore }\frac{3}{5}\text{ in twenties will sum up to }12 \end{gathered}[/tex]OR
[tex]\begin{gathered} 12\div\frac{3}{5}\text{ } \\ \frac{12}{1}\div\frac{3}{5}\text{ } \\ \text{Changing the division to multiplication sign (K}eep-Change-Flip)_{} \\ \frac{12}{1}\times\frac{5}{3}\text{ } \\ \frac{60}{3} \\ =20 \end{gathered}[/tex]Final answer:
12 divides 3/5 to give 20
