how many twenty-fourths would five sixths equal
I would give the fractions an equivalent denominator by multiplying 5/6 by 4:
(5/6)*4= 20/24
So 5/6 is equal to 20/24.
\(n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \\ \\ 24\cdot n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \cdot 24\)
\(\\ \\ n=\frac { 5 }{ 6 } \left( 20+4 \right) \\ \\ n=\frac { 100 }{ 6 } +\frac { 20 }{ 6 } \\ \\ n=\frac { 120 }{ 6 } \\ \\ n=20\)
The answer you are looking for is 20.