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- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_PreAlgebra/02%3A_Fractions/2.04%3A_Adding_and_Subtracting_Fractions\[ \begin{aligned} \frac{4} + \frac{1}{6} &= \frac{4 \cdot \textcolor{red}{2}}{9 \cdot \textcolor{red}{2}} + \frac{1 \cdot \textcolor{red}{3}}{6 \cdot \textcolor{red}{3}} ~ & \textcolor{red}{ \text{ E...\[ \begin{aligned} \frac{4} + \frac{1}{6} &= \frac{4 \cdot \textcolor{red}{2}}{9 \cdot \textcolor{red}{2}} + \frac{1 \cdot \textcolor{red}{3}}{6 \cdot \textcolor{red}{3}} ~ & \textcolor{red}{ \text{ Equivalent fractions with LCD = 18.}} \\ &= \frac{8}{18} + \frac{3}{18} ~ & \textcolor{red}{ \text{ Simplify numerators and denominators.}} \\ &= \frac{8+3}{18} ~ & \textcolor{red}{ \text{ Keep common denominator; add numerators.}} \\ &= \frac{11}{18} ~ & \textcolor{red}{ \text{ Simplify numerator.}…
- https://math.libretexts.org/Courses/Honolulu_Community_College/Math_75X%3A_Introduction_to_Mathematical_Reasoning_(Kearns)/02%3A_Fractions_and_Rational_Numbers/2.03%3A_Combining_Fractions-_Addition_and_Subtraction_with_Rational_Numbers/2.3.00%3A_Adding_and_Subtracting_Fractions\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \t...\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \text{ Equivalent fractions with LCD =12.}} \\ &= - \frac{3}{12} - \frac{10}{12} ~ & \textcolor{red}{ \text{ Simplify numerators and denominators.}} \\ &= \frac{-3-10}{12} ~ & \textcolor{red}{ \text{ Keep LCD; subtract numerators.}} \\ &= \frac{-13}{12} ~ & \textcolor{red}{ \text{ Simplify numerator.…
- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_Math_with_Business_Apps/02%3A_Fractions/2.04%3A_Adding_and_Subtracting_Fractions\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \t...\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \text{ Equivalent fractions with LCD =12.}} \\ &= - \frac{3}{12} - \frac{10}{12} ~ & \textcolor{red}{ \text{ Simplify numerators and denominators.}} \\ &= \frac{-3-10}{12} ~ & \textcolor{red}{ \text{ Keep LCD; subtract numerators.}} \\ &= \frac{-13}{12} ~ & \textcolor{red}{ \text{ Simplify numerator.…
- https://math.libretexts.org/Courses/Barton_Community_College/Book%3A_Technical_Mathematics_(Turner)/02%3A_Fractions/2.05%3A_Adding_and_Subtracting_Fractions\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \t...\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \text{ Equivalent fractions with LCD =12.}} \\ &= - \frac{3}{12} - \frac{10}{12} ~ & \textcolor{red}{ \text{ Simplify numerators and denominators.}} \\ &= \frac{-3-10}{12} ~ & \textcolor{red}{ \text{ Keep LCD; subtract numerators.}} \\ &= \frac{-13}{12} ~ & \textcolor{red}{ \text{ Simplify numerator.…