What is 7/18 divided by 14/27, in simplified form?

1. Find the reciprocal of 14/27, which is 27/14. 2. Multiply 7/18 by 27/14 instead of dividing. 3. Multiply the numerators: 7 x 27 = 189. Multiply the denominators: 18 x 14 = 252. 4. This gives 189/252. 5. Both 189 and 252 share a common factor of 63, so dividing both by 63 gives 3/4. 6. 4/3 comes from flipping the final simplified answer instead of the second fraction, and 2/3 and 3/2 come from arithmetic slips in the multiplication step. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 4 "Fractions", section 4.2 Multiply and Divide Fractions_