Question

During the COVID 19 home quarantine period, Alexa used her time in backyard gardening. She added 5/6 of a bag of soil to her garden. Her best friend Edna added another 11/8 bags of fertile soil to her garden. How much more soil did Edna add than Alexa?

Answer 1

`\begin{gathered} \text{Subtract the number of bags of soil Edna to the garden by Alexa's} \\ (11)/(8)-(5)/(6) \\ \text{Get the LCD (Least Common Denominator) of 8 and 6} \\ LCD(8,6)=24 \\ \text{Multiply both the numerator and denominator of each fraction that} \\ \text{makes the denominator equal to LCD} \\ \mleft((11)/(8)*(3)/(3)\mright)-\mleft((5)/(6)*(4)/(4)\mright)=\, ? \\ \text{Complete the multiplication} \\ (33)/(24)-(20)/(24)=\, ? \\ \text{Subtract only the numerator} \\ (33)/(24)-(20)/(24)=\, (33-20)/(24) \\ (33)/(24)-(20)/(24)=(13)/(24) \\ \text{Since the fraction cannot be simplified further, this is the final answer.} \\ \text{Therefore, Edna added }(13)/(24)\text{ more soil than Alexa.} \end{gathered}`