Add and Subtract Fractions with Common Denominators

Read this text. Pay special attention to the sections on fraction addition and subtraction. They provide an overview of how to add and subtract fractions with the same denominator. Complete the practice questions and check your answers.

Exercises

EXAMPLE 4.53

Find the sum: \dfrac{3}{5}+\dfrac{1}{5}.


EXAMPLE 4.54

Find the sum: \dfrac{x}{3}+\dfrac{2}{3}.


EXAMPLE 4.55

Find the sum: -\dfrac{9}{d}+\dfrac{3}{d}.


EXAMPLE 4.56

Find the sum: \dfrac{2 n}{11}+\dfrac{5 n}{11}.


EXAMPLE 4.57

Find the sum: -\dfrac{3}{12}+\left(-\dfrac{5}{12}\right).


EXAMPLE 4.59

Find the difference: \dfrac{23}{24}-\dfrac{14}{24}.


EXAMPLE 4.60

Find the difference: \dfrac{y}{6}-\dfrac{1}{6}.


EXAMPLE 4.61

Find the difference: -\dfrac{10}{x}-\dfrac{4}{x}.


EXAMPLE 4.62

Simplify: \dfrac{3}{8}+\left(-\dfrac{5}{8}\right)-\dfrac{1}{8}.