Question

Find 12 divide 3/5.Show reasoning.

Answer 1

Case: Division of a whole number by a fraction with logical reason

Required: Find 12 divide 3/5

Method:

`\begin{gathered} 12/(3)/(5) \\ \text{Taking }(3)/(5)\text{ in fives will sum up to 3. i.e }(3)/(5)+(3)/(5)+(3)/(5)+(3)/(5)+(3)/(5)=\text{ }(15)/(5)\Rightarrow3 \\ \text{Hence }(3)/(5)\text{ in tens will sum up to 6} \\ \text{Therefore }(3)/(5)\text{ in twenties will sum up to }12 \end{gathered}`

OR

`\begin{gathered} 12/(3)/(5)\text{ } \\ (12)/(1)/(3)/(5)\text{ } \\ \text{Changing the division to multiplication sign (K}eep-Change-Flip)_{} \\ (12)/(1)*(5)/(3)\text{ } \\ (60)/(3) \\ =20 \end{gathered}`

Final answer:

12 divides 3/5 to give 20