Coaching Centre
Computation with fractions, including negatives
Adding, subtracting, multiplying and dividing fractions and mixed numerals, including negative fractions.
The rules
Evaluate $1\tfrac{2}{3} - 2\tfrac{3}{4}$.
Negative fractions
The same sign rules apply: $-\dfrac{2}{3} \times \left(-\dfrac{9}{10}\right) = \dfrac{18}{30} = \dfrac{3}{5}$ (same signs, positive).
Evaluate $-\dfrac{3}{4} \div \dfrac{9}{8}$.
Evaluate $1\tfrac{2}{3} - 2\tfrac{3}{4}$ as an improper fraction.
$\tfrac{20}{12} - \tfrac{33}{12}$.
Evaluate $-\dfrac{3}{4} \div \dfrac{9}{8}$.
$-\tfrac{3}{4} \times \tfrac{8}{9}$.
Evaluate $-\dfrac{2}{3} \times \left(-\dfrac{9}{10}\right)$.
Same signs.
Evaluate $-\dfrac{1}{2} - \dfrac{1}{3}$.
$-\tfrac{3}{6} - \tfrac{2}{6}$.
Evaluate $\dfrac{2}{5} \div \dfrac{4}{15}$.
$\tfrac{2}{5} \times \tfrac{15}{4} = \tfrac{30}{20}$.
Evaluate $\dfrac{1}{3} - \dfrac{1}{4}$.
$\tfrac{4}{12} - \tfrac{3}{12}$.
Evaluate $2\tfrac{1}{2} \times 2$.
$\tfrac{5}{2} \times 2$.
Evaluate $\dfrac{1}{2} + \left(-\dfrac{1}{4}\right)$.
$\tfrac{2}{4} - \tfrac{1}{4}$.
New numbers every time. Keep going until you get five in a row.