1.6 Add and subtract fractions  (Page 3/4)

$\frac{6}{13}+\frac{5}{13}$

$\frac{4}{15}+\frac{7}{15}$

$\frac{x}{4}+\frac{3}{4}$

$\frac{8}{q}+\frac{6}{q}$

$-\frac{3}{16}+\left(-\frac{7}{16}\right)$

$-\frac{5}{16}+\left(-\frac{9}{16}\right)$

$-\frac{8}{17}+\frac{15}{17}$

$-\frac{9}{19}+\frac{17}{19}$

$\frac{6}{13}+\left(-\frac{10}{13}\right)+\left(-\frac{12}{13}\right)$

$\frac{5}{12}+\left(-\frac{7}{12}\right)+\left(-\frac{11}{12}\right)$

$\frac{11}{15}-\frac{7}{15}$

$\frac{9}{13}-\frac{4}{13}$

$\frac{11}{12}-\frac{5}{12}$

$\frac{7}{12}-\frac{5}{12}$

$\frac{19}{21}-\frac{4}{21}$

$\frac{17}{21}-\frac{8}{21}$

$\frac{5y}{8}-\frac{7}{8}$

$\frac{11z}{13}-\frac{8}{13}$

$-\frac{23}{u}-\frac{15}{u}$

$-\frac{29}{v}-\frac{26}{v}$

$-\frac{3}{5}-\left(-\frac{4}{5}\right)$

$-\frac{3}{7}-\left(-\frac{5}{7}\right)$

$-\frac{7}{9}-\left(-\frac{5}{9}\right)$

$-\frac{8}{11}-\left(-\frac{5}{11}\right)$

$-\frac{5}{18}·\frac{9}{10}$

$-\frac{3}{14}·\frac{7}{12}$

$\frac{n}{5}-\frac{4}{5}$

$\frac{6}{11}-\frac{s}{11}$

$-\frac{7}{24}+\frac{2}{24}$

$-\frac{5}{18}+\frac{1}{18}$

$\frac{8}{15}÷\frac{12}{5}$

$\frac{7}{12}÷\frac{9}{28}$

$\frac{1}{2}+\frac{1}{7}$

$\frac{1}{3}+\frac{1}{8}$

$\frac{1}{3}-\left(-\frac{1}{9}\right)$

$\frac{1}{4}-\left(-\frac{1}{8}\right)$

$\frac{7}{12}+\frac{5}{8}$

$\frac{5}{12}+\frac{3}{8}$

$\frac{7}{12}-\frac{9}{16}$

$\frac{7}{16}-\frac{5}{12}$

$\frac{2}{3}-\frac{3}{8}$

$\frac{5}{6}-\frac{3}{4}$

$-\frac{11}{30}+\frac{27}{40}$

$-\frac{9}{20}+\frac{17}{30}$

$-\frac{13}{30}+\frac{25}{42}$

$-\frac{23}{30}+\frac{5}{48}$

$-\frac{39}{56}-\frac{22}{35}$

$-\frac{33}{49}-\frac{18}{35}$

$-\frac{2}{3}-\left(-\frac{3}{4}\right)$

$-\frac{3}{4}-\left(-\frac{4}{5}\right)$

$1+\frac{7}{8}$

$1-\frac{3}{10}$

$\frac{x}{3}+\frac{1}{4}$

$\frac{y}{2}+\frac{2}{3}$

$\frac{y}{4}-\frac{3}{5}$

$\frac{x}{5}-\frac{1}{4}$

ⓐ $\frac{2}{3}+\frac{1}{6}$ ⓑ $\frac{2}{3}÷\frac{1}{6}$

ⓐ $-\frac{2}{5}-\frac{1}{8}$ ⓑ $-\frac{2}{5}·\frac{1}{8}$

ⓐ $\frac{5n}{6}÷\frac{8}{15}$ ⓑ $\frac{5n}{6}-\frac{8}{15}$

ⓐ $\frac{3a}{8}÷\frac{7}{12}$ ⓑ $\frac{3a}{8}-\frac{7}{12}$

$-\frac{3}{8}÷\left(-\frac{3}{10}\right)$

$-\frac{5}{12}÷\left(-\frac{5}{9}\right)$

$-\frac{3}{8}+\frac{5}{12}$

$-\frac{1}{8}+\frac{7}{12}$

$\frac{5}{6}-\frac{1}{9}$

$\frac{5}{9}-\frac{1}{6}$

$-\frac{7}{15}-\frac{y}{4}$

$-\frac{3}{8}-\frac{x}{11}$

$\frac{11}{12a}·\frac{9a}{16}$

$\frac{10y}{13}·\frac{8}{15y}$

$\frac{2^3+4^2}{{\left(\frac{2}{3}\right)}^2}$

$\frac{3^3-3^2}{{\left(\frac{3}{4}\right)}^2}$

$\frac{{\left(\frac{3}{5}\right)}^2}{{\left(\frac{3}{7}\right)}^2}$

$\frac{{\left(\frac{3}{4}\right)}^2}{{\left(\frac{5}{8}\right)}^2}$

$\frac{2}{\frac{1}{3}+\frac{1}{5}}$

$\frac{5}{\frac{1}{4}+\frac{1}{3}}$

$\frac{\frac{7}{8}-\frac{2}{3}}{\frac{1}{2}+\frac{3}{8}}$

$\frac{\frac{3}{4}-\frac{3}{5}}{\frac{1}{4}+\frac{2}{5}}$

$\frac{1}{2}+\frac{2}{3}·\frac{5}{12}$

$\frac{1}{3}+\frac{2}{5}·\frac{3}{4}$

$1-\frac{3}{5}÷\frac{1}{10}$

$1-\frac{5}{6}÷\frac{1}{12}$

$\frac{2}{3}+\frac{1}{6}+\frac{3}{4}$

$\frac{2}{3}+\frac{1}{4}+\frac{3}{5}$

$\frac{3}{8}-\frac{1}{6}+\frac{3}{4}$

$\frac{2}{5}+\frac{5}{8}-\frac{3}{4}$

$12\left(\frac{9}{20}-\frac{4}{15}\right)$

$8\left(\frac{15}{16}-\frac{5}{6}\right)$

$\frac{\frac{5}{8}+\frac{1}{6}}{\frac{19}{24}}$

$\frac{\frac{1}{6}+\frac{3}{10}}{\frac{14}{30}}$

$\left(\frac{5}{9}+\frac{1}{6}\right)÷\left(\frac{2}{3}-\frac{1}{2}\right)$

$\left(\frac{3}{4}+\frac{1}{6}\right)÷\left(\frac{5}{8}-\frac{1}{3}\right)$

$x+\left(-\frac{5}{6}\right)$ when
ⓐ $x=\frac{1}{3}$
ⓑ $x=-\frac{1}{6}$

$x+\left(-\frac{11}{12}\right)$ when
ⓐ $x=\frac{11}{12}$
ⓑ $x=\frac{3}{4}$

$x-\frac{2}{5}$ when
ⓐ $x=\frac{3}{5}$
ⓑ $x=-\frac{3}{5}$

$x-\frac{1}{3}$ when
ⓐ $x=\frac{2}{3}$
ⓑ $x=-\frac{2}{3}$

$\frac{7}{10}-w$ when
ⓐ $w=\frac{1}{2}$
ⓑ $w=-\frac{1}{2}$

$\frac{5}{12}-w$ when
ⓐ $w=\frac{1}{4}$
ⓑ $w=-\frac{1}{4}$

$2x^2{y}^3$ when $x=-\frac{2}{3}$ and $y=-\frac{1}{2}$

$8u^2{v}^3$ when $u=-\frac{3}{4}$ and $v=-\frac{1}{2}$

$\frac{a+b}{a-b}$ when $a=\mathrm{-3},b=8$

$\frac{r-s}{r+s}$ when $r=10,s=\mathrm{-5}$

Decorating Laronda is making covers for the throw pillows on her sofa. For each pillow cover, she needs $\frac{1}{2}$ yard of print fabric and $\frac{3}{8}$ yard of solid fabric. What is the total amount of fabric Laronda needs for each pillow cover?

Baking Vanessa is baking chocolate chip cookies and oatmeal cookies. She needs $\frac{1}{2}$ cup of sugar for the chocolate chip cookies and $\frac{1}{4}$ of sugar for the oatmeal cookies. How much sugar does she need altogether?

Why do you need a common denominator to add or subtract fractions? Explain.

How do you find the LCD of 2 fractions?