structural:summarization
North American and European tours

In mid-January 1979, Ulvaeus and Fältskog announced they were getting divorced. The news caused interest from the media and led to speculation about the band's future. ABBA assured the press and their fan base they were continuing their work as a group and that the divorce would not affect them. Nonetheless, the media continued to confront them with this in interviews. To escape the media swirl and concentrate on their writing, Andersson and Ulvaeus secretly travelled to Compass Point Studios in Nassau, Bahamas, where for two weeks they prepared their next album's songs.

The group's sixth studio album, Voulez-Vous, was released in April 1979, with its title track recorded at the famous Criteria Studios in Miami, Florida, with the assistance of recording engineer Tom Dowd among others. The album topped the charts across Europe and in Japan and Mexico, hit the Top 10 in Canada and Australia and the Top 20 in the US. While none of the singles from the album reached number one on the UK chart, the lead single, " Chiquitita ", and the fourth single, " I Have a Dream ", both ascended to number two, and the other two, " Does Your Mother Know " and " Angeleyes " (with " Voulez-Vous ", released as a double A-side) both made the top 5. All four singles reached number one in Belgium, although the last three did not chart in Sweden or Norway. "Chiquitita", which was featured in the Music for UNICEF Concert after which ABBA decided to donate half of the royalties from the song to UNICEF, topped the singles charts in the Netherlands, Switzerland, Finland, Spain, Mexico, South Africa, Rhodesia and New Zealand, rose to number two in Sweden, and made the Top 5 in Germany, Austria, Norway and Australia, although it only reached number 29 in the US.

"I Have a Dream" was a sizeable hit reaching number one in the Netherlands, Switzerland, and Austria, number three in South Africa, and number four in Germany, although it only reached number 64 in Australia. In Canada, "I Have a Dream" became ABBA's second number one on the RPM Adult Contemporary chart (after "Fernando" hit the top previously) although it did not chart in the US. "Does Your Mother Know", a rare song in which Ulvaeus sings lead vocals, was a Top 5 hit in the Netherlands and Finland, and a Top 10 hit in Germany, Switzerland, Australia, although it only reached number 27 in New Zealand. It did better in North America than "Chiquitita", reaching number 12 in Canada and number 19 in the US, and made the Top 20 in Japan. "Voulez-Vous" was a Top 10 hit in the Netherlands and Switzerland, a Top 20 hit in Germany and Finland, but only peaked in the 80s in Australia, Canada and the US.

Also in 1979, the group released their second compilation album, Greatest Hits Vol. 2, which featured a brand-new track: " Gimme! Gimme! Gimme! (A Man After Midnight) ", which was a Top 3 hit in the UK, Belgium, the Netherlands, Germany, Austria, Switzerland, Finland and Norway, and returned ABBA to the Top 10 in Australia. Greatest Hits Vol. 2 went to number one in the UK, Belgium, Canada and Japan while making the Top 5 in several other countries, but only reaching number 20 in Australia and number 46 in the US. In the Soviet Union during the late 1970s, the group were paid in oil commodities because of an embargo on the rouble.

On 13 September 1979, ABBA began ABBA: The Tour at Northlands Coliseum in Edmonton, Canada, with a full house of 14,000. "The voices of the band, Agnetha's high sauciness combined with round, rich lower tones of Anni-Frid, were excellent...Technically perfect, melodically correct and always in perfect pitch...The soft lower voice of Anni-Frid and the high, edgy vocals of Agnetha were stunning", raved Edmonton Journal.

During the next four weeks they played a total of 17 sold-out dates, 13 in the United States and four in Canada. The last scheduled ABBA concert in the United States in Washington, D.C. was cancelled due to emotional distress Fältskog experienced during the flight from New York to Boston. The group's private plane was subjected to extreme weather conditions and was unable to land for an extended period. They appeared at the Boston Music Hall for the performance 90 minutes late. The tour ended with a show in Toronto, Canada at Maple Leaf Gardens before a capacity crowd of 18,000. "ABBA plays with surprising power and volume; but although they are loud, they're also clear, which does justice to the signature vocal sound... Anyone who's been waiting five years to see Abba will be well satisfied", wrote Record World. On 19 October 1979, the tour resumed in Western Europe where the band played 23 sold-out gigs, including six sold-out nights at London's Wembley Arena.