Dropbox allows you to connect your personal and work accounts. To do so, login to your Dropbox account and click on your name located at the top right corner of the page. It will open your account menu. Select 'Settings' and click 'Connect' located under 'Connect your personal Dropbox'. This is how you can connect both the accounts. You will then get to know how to sign in both the Dropbox accounts on a mobile or computer. You can disconnect your accounts whenever you want from the Dropbox website. To disconnect personal and work Dropbox, go to your account settings.