New York City’s private schools are worried that the state effort to crack down on a few schools that don’t teach could mean trouble for schools that plainly do. Happily, the fix is pretty easy.

The fear was summed up pretty well in a letter that the head of the elite Trinity School sent to parents, asking them to weigh in before the state Board of Regents finalizes its regulations, in order “to preserve Trinity’s independence as guaranteed in the New York State constitution,” read the letter obtained by The Post.

To be clear, the main point of the proposed State Education Department regulations is to empower the city Department of Education to ensure that all non-public schools in the five boroughs provide an education that is “substantially equivalent” to what the public schools offer.

And it’s all driven by a handful of yeshivas that refuse to allow inspections to prove (or disprove) critics’ charges that they don’t even try to teach basic math and English after third grade or so.

We support the effort to hold those schools to account, but also understand the fears of Trinity et al. After all, Chancellor Richard Carranza and Mayor Bill de Blasio are trying furiously to destroy the city’s top public high schools: It’s easy to see them, or their successors, going to war on private schools, too — or blackmailing them.

But the Trinity letter points to the answer, since it rightly notes that “NYSAIS-accredited schools already meet the requirements for substantial equivalency.”

NYAIS, the NYS Association of Independent Schools, is a not-for-profit chartered by the Regents to provide accreditation to nearly 200 member schools. The draft regulations merely tell the DOE to take that accreditation “into account as part of the substantial equivalency review process.”

So all the final regs need do is declare that such accreditation ends the need for further review. (If the few suspect yeshivas try to form a fake accreditation board, the Regents just have to refuse.)

The SED has a duty to ensuring that all students (public and nonpublic) receive a quality education. It should have no trouble doing that without putting quality schools at risk.