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?

Respuesta :

[tex]\begin{gathered} \text{Subtract the number of bags of soil Edna to the garden by Alexa's} \\ \frac{11}{8}-\frac{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(\frac{11}{8}\times\frac{3}{3}\mright)-\mleft(\frac{5}{6}\times\frac{4}{4}\mright)=\, ? \\ \text{Complete the multiplication} \\ \frac{33}{24}-\frac{20}{24}=\, ? \\ \text{Subtract only the numerator} \\ \frac{33}{24}-\frac{20}{24}=\, \frac{33-20}{24} \\ \frac{33}{24}-\frac{20}{24}=\frac{13}{24} \\ \text{Since the fraction cannot be simplified further, this is the final answer.} \\ \text{Therefore, Edna added }\frac{13}{24}\text{ more soil than Alexa.} \end{gathered}[/tex]

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