Half of voters approve of the job that Bill de Blasio is doing as New York City mayor — his highest numbers in a year — according to a Quinnipac poll released Tuesday.

Quinnipiac’s survey showed that 50 percent of voters approve to 42 percent who disapprove, while 8 percent didn’t answer or didn’t know. In October, 45 percent of voters approved of his job performance, compared with 46 percent who disapproved.

Quinnipiac’s Maurice Carroll attributed the higher poll numbers to greater efforts by de Blasio to show he is engaged in dealing with city problems, such as the homelessness crisis. Earlier this month, de Blasio convened at least three public events in a single week on the topic.

“He’s been active. He’s done stuff,” Carroll said. “He is working on something, and that’s a positive thing.”

Also, by 48 percent to 44 percent, voters said he deserves re-election. In October, 48 percent said they didn’t believe he deserves re-election, compared with 42 percent who did.

“Compared to the numbers he’s had, it’s a silver-lining poll,” Carroll said. “They’re not great numbers.”

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De Blasio’s office did not respond to a message seeking comment on the poll, but his chief spokeswoman, Karen Hinton, tweeted: “It’s about the J-O-B, not a P-O-L-L. Mayor will continue to build on accomplishments. All New Yorkers are benefitting. That’s what matters.”

Surveyed voters were also asked to assign letter grades: 11 percent awarded him an A; 37 percent, a B; 21 percent, a C; 13 percent, a D; and 16 percent gave de Blasio a failing grade.

The survey continued to reflect a racial divide in de Blasio’s support: Black voters approve of de Blasio 77 percent to 11 percent and Hispanics 66 percent to 29 percent, while whites disapprove of de Blasio’s job performance by 67 percent to 27 percent.

The poll, conducted from Jan. 11 to Jan. 17 by the Connecticut-based school, questioned 1,143 city voters on cellphones and landlines. The margin of sampling error is plus or minus 2.9 percentage points.