Enter any fraction expression and see the steps to simplify it.
\( \frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12} \)
Proper fraction is when the numerator is less than the denominator.
Examples: \( \frac{3}{4}, \frac{7}{10} \)
It solves addition, subtraction, division and multiplication of proper fractions.
\( \frac{1}{4} + \frac{1}{3} \)
\( \frac{2}{5} \times \frac{3}{4} \)
Improper Fractions are when the numerator is greater than or equal to the denominator.
Examples: \( \frac{9}{4}, \frac{7}{7} \)
\( \frac{7}{3} – \frac{5}{4} = \frac{28}{12} – \frac{15}{12} = \frac{13}{12} = 1 \frac{1}{12} \)
\( \frac{7}{4} \times \frac{5}{3} = \frac{7 \times 5}{4 \times 3} = \frac{35}{12} = 2 \frac{11}{12} \)
Fraction solvers solves fractions with the same denominator.
Examples: \( \frac{3}{8}, \frac{5}{8}, \frac{7}{8} \)
\( \frac{3}{8} + \frac{5}{8} = \frac{8}{8} = 1 \)
\( \frac{7}{8} – \frac{3}{8} = \frac{4}{8} = \frac{1}{2} \)
Fraction solver also solves fractions with different denominators.
Examples: \( \frac{2}{5}, \frac{3}{7}, \frac{1}{4} \)
Use the least common denominator (LCD) for addition and subtraction.
Example (Addition)
\( \frac{2}{5} + \frac{1}{4} = \frac{8}{20} + \frac{5}{20} = \frac{13}{20} \)
Example (Subtraction)
\( \frac{2}{5} – \frac{1}{4} = \frac{8}{20} – \frac{5}{20} = \frac{3}{20} \)
Multiply directly.
Example:
\( \frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10} \)
Fractions with 1 as the numerator.
Examples: \( \frac{1}{2}, \frac{1}{3}, \frac{1}{8} \)
Addition/Subtraction: Use the same rules as above.
Example
\( \frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \)
Multiplication: Always results in a smaller fraction.
Example
\( \frac{1}{3} \times \frac{1}{4} = \frac{1}{12} \)
Fractions that have the same value but different numerators and denominators.
Examples: \( \frac{2}{4} = \frac{1}{2}, \frac{3}{9} = \frac{1}{3} \)
Perform operations on the reduced forms.
Example:
\( \frac{4}{8} + \frac{6}{9} = \frac{1}{2} + \frac{2}{3} = \frac{3}{6} + \frac{4}{6} = \frac{7}{6} = 1 \frac{1}{6} \)
