5.1 Addition and subtraction of fractions with like denominators

$\frac{1}{\text{10}}+\frac{3}{\text{10}}$

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

$\frac{7}{\text{11}}+\frac{4}{\text{11}}$

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

Show why adding both the numerators and denominators is preposterous by adding $\frac{3}{4}$ and $\frac{3}{4}$ and examining the result.

$\frac{\text{10}}{\text{13}}-\frac{8}{\text{13}}$

$\frac{5}{\text{12}}-\frac{1}{\text{12}}$

$\frac{1}{2}-\frac{1}{2}$

$\frac{\text{26}}{\text{10}}-\frac{\text{14}}{\text{10}}$

Show why subtracting both the numerators and the denominators is in error by performing the subtraction $\frac{5}{9}-\frac{2}{9}$ .

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

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

$\frac{9}{\text{10}}+\frac{1}{\text{10}}$

$\frac{3}{\text{11}}+\frac{4}{\text{11}}$

$\frac{9}{\text{15}}+\frac{4}{\text{15}}$

$\frac{3}{\text{10}}+\frac{2}{\text{10}}$

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

$\frac{\text{11}}{\text{16}}-\frac{2}{\text{16}}$

$\frac{3}{\text{16}}-\frac{3}{\text{16}}$

$\frac{\text{15}}{\text{23}}-\frac{2}{\text{23}}$

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

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

$\frac{3}{\text{11}}+\frac{1}{\text{11}}+\frac{5}{\text{11}}$

$\frac{\text{16}}{\text{20}}+\frac{1}{\text{20}}+\frac{2}{\text{20}}$

$\frac{\text{12}}{8}+\frac{2}{8}+\frac{1}{8}$

$\frac{1}{\text{15}}+\frac{8}{\text{15}}+\frac{6}{\text{15}}$

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

$\frac{\text{11}}{\text{16}}+\frac{9}{\text{16}}-\frac{5}{\text{16}}$

$\frac{4}{\text{20}}-\frac{1}{\text{20}}+\frac{9}{\text{20}}$

$\frac{7}{\text{10}}-\frac{3}{\text{10}}+\frac{\text{11}}{\text{10}}$

$\frac{\text{16}}{5}-\frac{1}{5}-\frac{2}{5}$

$\frac{\text{21}}{\text{35}}-\frac{\text{17}}{\text{35}}+\frac{\text{31}}{\text{35}}$

$\frac{5}{2}+\frac{\text{16}}{2}-\frac{1}{2}$

$\frac{1}{\text{18}}+\frac{3}{\text{18}}+\frac{1}{\text{18}}+\frac{4}{\text{18}}-\frac{5}{\text{18}}$

$\frac{6}{\text{22}}-\frac{2}{\text{22}}+\frac{4}{\text{22}}-\frac{1}{\text{22}}+\frac{\text{11}}{\text{22}}$

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

$\frac{8}{\text{15}}+\frac{8}{\text{15}}$

Find the total length of the screw.

Two months ago, a woman paid off $\frac{3}{\text{24}}$ of a loan. One month ago, she paid off $\frac{5}{\text{24}}$ of the total loan. This month she will again pay off $\frac{5}{\text{24}}$ of the total loan. At the end of the month, how much of her total loan will she have paid off?

Find the inside diameter of the pipe.

( [link] ) Round 2,650 to the nearest hundred.

( [link] ) Use the numbers 2, 4, and 8 to illustrate the associative property of addition.

( [link] ) Find the prime factors of 495.

( [link] ) Find the value of $\frac{3}{4}\cdot \frac{\text{16}}{\text{25}}\cdot \frac{5}{9}$ .

( [link] ) $\frac{8}{3}$ of what number is $1\frac{7}{9}$ ?