To multiply two fractions:
- multiply the numerators to get the new numerator, and
- multiply the denominators to get the new denominator.
To divide one fraction by another one, flip numerator and denominator of the second one, and then multiply the two fractions. The flipped-over fraction is called the multiplicative inverse or reciprocal.
To simplify a compound fraction, like , just remember that a fraction is the same as division, and divide (3/5) ÷ (1/4), which comes to 12/5.