Question

Change the mixed number to percentage

7 7/8

Answer 1

well, the idea being, that 1 is the 100% unit, so say 0.5 is 50% and so on.

so, let's convert 7 and 7/8 from mixed to improper first.


`\bf 7(7)/(8)\implies \cfrac{7\cdot 8+7}{8}\implies \cfrac{63}{8}\implies 7.875\\\\ -------------------------------\\\\ \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&100\\ 7.875&p \end{array}\implies \cfrac{1}{7.875}=\cfrac{100}{p}\implies p=\cfrac{7.875\cdot 100}{1}`