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Solve for L
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\frac{\frac{4+1}{4}}{1}=\frac{L}{\frac{1}{2}}
Multiply 1 and 4 to get 4.
\frac{\frac{5}{4}}{1}=\frac{L}{\frac{1}{2}}
Add 4 and 1 to get 5.
\frac{5}{4}=\frac{L}{\frac{1}{2}}
Anything divided by one gives itself.
\frac{L}{\frac{1}{2}}=\frac{5}{4}
Swap sides so that all variable terms are on the left hand side.
L=\frac{5}{4}\times \frac{1}{2}
Multiply both sides by \frac{1}{2}.
L=\frac{5\times 1}{4\times 2}
Multiply \frac{5}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
L=\frac{5}{8}
Do the multiplications in the fraction \frac{5\times 1}{4\times 2}.