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% Document Info
\author{Rocketroses17}
\pdfinfo{
  /Title (fractions-grade-8.pdf)
  /Creator (Cheatography)
  /Author (Rocketroses17)
  /Subject (Fractions (Grade 8) Cheat Sheet)
}

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\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Fractions (Grade 8) Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Rocketroses17} via \textcolor{DarkBackground}{\uline{cheatography.com/133946/cs/27492/}}}
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\noindent
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Rocketroses17 \\
  \uline{cheatography.com/rocketroses17} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 11th April, 2021.\\
   Updated 11th April, 2021.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{document}
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\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{x{3.23505 cm} x{1.74195 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to multiply fractions}}  \tn
% Row 0
\SetRowColor{LightBackground}
1. If you have a mixed number fraction, turn it into an improper fraction & Example: 1 1/3 x 3/6 \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
2. Multiply your denominators & 1. 1 1/3 becomes 4/3 \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
3. Multiply your numerators & 2. 3 x 6 = 18 \tn 
% Row Count 7 (+ 2)
% Row 3
\SetRowColor{white}
4. Put your new numerator over your new denominator & 3. 4 x 3 = 12 \tn 
% Row Count 9 (+ 2)
% Row 4
\SetRowColor{LightBackground}
5. Simplify your (im)proper fraction & 4. 12/18 \tn 
% Row Count 11 (+ 2)
% Row 5
\SetRowColor{white}
6. Now you're done & 5. 12/18 becomes 1 1/2 \tn 
% Row Count 13 (+ 2)
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{3.28482 cm} x{1.69218 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to divide fractions}}  \tn
% Row 0
\SetRowColor{LightBackground}
1. If you have a mixed number fraction, turn it into an improper fraction & Example: 1 1/4 ÷ 4/5 \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
2. Find the reciprocal of your second fraction & 1. 1 1/4 becomes 5/4 \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
3. Now multiply your new numerators & 2. 4/5 becomes 5/4 \tn 
% Row Count 7 (+ 2)
% Row 3
\SetRowColor{white}
4. And...multiply your new denominators & 3. 5 x 5 = 25 \tn 
% Row Count 9 (+ 2)
% Row 4
\SetRowColor{LightBackground}
5. Put your new numerator over your new denominator & 4. 5 x 5 = 25 \tn 
% Row Count 11 (+ 2)
% Row 5
\SetRowColor{white}
6. Simplify the (im)proper fraction & 5. 25/25 \tn 
% Row Count 13 (+ 2)
% Row 6
\SetRowColor{LightBackground}
7. You're done & 6. 1 \tn 
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{3.63321 cm} x{1.34379 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Mixed numbers into improper fractions}}  \tn
% Row 0
\SetRowColor{LightBackground}
1. Divide the numerator by the denominator & Example: 6/4 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
2. Write down the whole number answer & 1. 6 ÷ 4 = 1.5 \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
3. Write down any remainder above the denominator & 2. 1 \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
4. Simplify your fraction (if necessary) & 3. 2/4 \tn 
% Row Count 8 (+ 2)
% Row 4
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5. Put your whole number in front of your new fraction & 4. 1/2 \tn 
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% Row 5
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6. You're done & 5. 1 1/2 \tn 
% Row Count 11 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.73735 cm} x{2.23965 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to add fractions}}  \tn
% Row 0
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1. Make your denominators the same. To do this, find the lowest common multiple of both denominators & Example: 3/4 + 7/8 \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
2. Add your numerators & 1. 4 + 4 = 8. New denominator = 8 \tn 
% Row Count 7 (+ 2)
% Row 2
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3. Put that answer over your denominator & 2. 6 + 7 = 13 \tn 
% Row Count 9 (+ 2)
% Row 3
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4. Simplify your fraction (if necessary) & 3. 13/8 \tn 
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5. You're done! & 4. 1 3/4 \tn 
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\begin{tabularx}{5.377cm}{x{2.83689 cm} x{2.14011 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to subtract fractions}}  \tn
% Row 0
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1. Make your denominators the same. To do this, find the lowest common multiple of both denominators & Example: 1/2 - 1/4 \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
2. Subtract your second numerator from your first numerator & 2 + 2 = 4, new denominator = 4 \tn 
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% Row 2
\SetRowColor{LightBackground}
3. Put your new numerator over your denominator & 2. 2 - 1 = 1 \tn 
% Row Count 11 (+ 3)
% Row 3
\SetRowColor{white}
4. Simplify your fraction (if necessary) & 3. 1/4 \tn 
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% Row 4
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5. You're done! & 4. 1/4 \tn 
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\begin{tabularx}{5.377cm}{x{3.63321 cm} x{1.34379 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Improper fractions into mixed numbers}}  \tn
% Row 0
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1. Multiply the whole number by the denominator & Example: 1 5/10 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
2. Add this number to your numerator & 1. 1 x 10 = 10 \tn 
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% Row 2
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3. Put that number over your denominator & 2. 10 + 5 = 15 \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
4. Simplify your improper fraction if possible & 3. 15/10 \tn 
% Row Count 8 (+ 2)
% Row 4
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5. You're done! & 4. 3/2 \tn 
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Fraction terms}}  \tn
% Row 0
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Reciprocal = the result of flipping the number upside down & 1/2 = proper fraction because the numerator is smaller than the denominator \tn 
% Row Count 4 (+ 4)
% Row 1
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The first or top number is the numerator. Ex. 1 in 1/4 & 3/2 = improper fraction because the numerator is bigger than the denominator \tn 
% Row Count 8 (+ 4)
% Row 2
\SetRowColor{LightBackground}
The second or lower number is the denominator & 1 1/2 = mixed number fraction because there's a whole number and a fraction combined to make one fraction \tn 
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% Row 3
\SetRowColor{white}
When a shape is divided into equal sections of which some have been shaded, the amount of shaded sections is the numerator and the total amount of sections, unshaded or shaded is your denominator & When there is a numerator over another fraction, you divide the lower number, top number divided by bottom number and then you divide the numerator by the new denominator \tn 
% Row Count 24 (+ 10)
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.93643 cm} x{2.04057 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{How to simplify fractions}}  \tn
% Row 0
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1. Write down the factors of the numerator and the denominator until you find the lowest common multiple & Example: 6/4 \tn 
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% Row 1
\SetRowColor{white}
2. Determine what the lowest common multiple is & 1. 2, 6, 12  2, 4, 8, 12 \tn 
% Row Count 8 (+ 3)
% Row 2
\SetRowColor{LightBackground}
3. Divide the numerator and the denominator by their lowest common multiple & 2. 2 \tn 
% Row Count 12 (+ 4)
% Row 3
\SetRowColor{white}
4. Write down the new simplified fraction & 3. 6 ÷ 2 = 3 and 4 ÷ 2 = 2 \tn 
% Row Count 14 (+ 2)
% Row 4
\SetRowColor{LightBackground}
5. You're done! & 4. 3/2 \tn 
% Row Count 15 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}