Hillary Clinton won the majority of delegates in Tuesday’s contests, widening her delegate lead over Bernie Sanders and making it increasingly difficult for him to catch up.

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If Mrs. Clinton keeps winning with similar margins, she will get half of all the pledged delegates by June.

Democratic delegates are awarded proportionally by congressional district, and in states that have voted so far, Mrs. Clinton has won more than half of the vote on average.

For Mr. Sanders to overtake Mrs. Clinton, he would need to win the remaining races with an average of more than 60 percent of the vote.

If Mr. Sanders is able to win a series of landslides in upcoming contests, increasing his vote share by roughly 20 percentage points on average, it would be possible for him to overtake Mrs. Clinton in pledged delegates. His advisers have argued that the calendar favors him going forward.

Mr. Sanders is also significantly trailing Mrs. Clinton in superdelegates, the roughly 700 Democratic Party officials whose support counts toward the nomination. But superdelegates generally support the candidate who receives the most pledged delegates, and they are free to switch candidates at any time before the convention in July.