Negative Fractions

Explanation of why a negative sign can be placed, or moved to, in front of a fraction, in front of its numerator, or in front of its denominator, without changing the value of the fraction.

Algebra Intro 11: Dividing Fractions, Equivalent Fractions

Once a person is comfortable with multiplying fractions, dividing one fraction by another becomes fairly straightforward. Dividing Fractions An alternative to division by any number (not just a fraction) is "multiplying by the reciprocal". Dividing by two has the same effect as multiplying by one half. Multiplying by the reciprocal of a number will always produce …

Equivalence Deserves More Attention

Most students taking courses in Algebra or higher seem quite comfortable with the idea of "equivalent fractions": improper or unsimplified fractions all of which evaluate to the same decimal value. An example would be $latex \dfrac{2}{3}=\dfrac{4}{6}=\dfrac{12}{18}=\dfrac{60}{90}=0.\overline{666}&s=2&bg=ffffff&fg=000000$ To create such fractions, multiply whatever fraction you wish to start with by 1 (the multiplicative identity) in the …