Add (a/b).x +/- (c/d) where a,b,c,d are randomised positive integers, and x is a randomised letter.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Express $\\displaystyle{\\var{fe[0]}\\var{ve}\\var{sgnl}\\var{fe[1]}}$ as a single fraction.
", "advice": "$\\displaystyle{\\var{fe[0]}\\var{ve}\\var{sgnl}\\var{fe[1]}}$
\nConsider the two denominators: $\\var{ndnd[1]}$ and $\\var{ndnd[3]}$. The greatest common divisor is $\\var{den_gcd}$ and the lowest common multiple is $\\frac{\\var{ndnd[1]}\\times\\var{ndnd[3]}}{\\var{den_gcd}}=\\var{lcm}$.
\n\\[\\begin{align*}\\var{fe[0]}\\var{ve}\\var{sgnl}\\var{fe[1]}&=\\frac{\\var{lcm/ndnd[1]}}{\\var{lcm/ndnd[1]}}\\times\\var{fe[0]}\\var{ve}\\var{sgnl}\\var{fe[1]}\\\\&=\\frac{\\var{lcm/ndnd[1]*ndnd[0]}\\var{ve}}{\\var{lcm}} \\var{sgnl}\\var{fe[1]}\\\\&=\\frac{\\var{nexpr[1]}}{\\var{lcm}} \\end{align*}\\]
\n\\[\\begin{align*}\\var{fe[0]}\\var{ve}\\var{sgnl}\\var{fe[1]}&=\\frac{\\var{lcm/ndnd[1]}}{\\var{lcm/ndnd[1]}}\\times\\var{fe[0]}\\var{ve}\\var{sgnl}\\frac{\\var{lcm/ndnd[3]}}{\\var{lcm/ndnd[3]}}\\times\\var{fe[1]}\\\\&=\\frac{\\var{nexpr[2]}}{\\var{lcm}}\\\\&=\\frac{\\var{nexpr[3]}}{\\var{lcm}} \\end{align*}\\]
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