Quarter Hours to Semester Hours
The working answer is multiply quarter hours by two-thirds — 90 quarter hours becomes 60 semester hours, 180 becomes 120.
The part nobody mentions: no federal regulation contains that formula. The 1.5-to-1 ratio is reverse-engineered from figures that appear side by side in the rules, and the Department of Education has said so in writing. Your receiving school picks its own method, and the honest range is wider than a single multiplier suggests.
Common conversions
| Quarter hours | At 1.5 : 1 | At 1.25 : 1 | Difference |
|---|---|---|---|
| 90 | 60 | 72 | 12 credits |
| 120 | 80 | 96 | 16 credits |
| 135 | 90 | 108 | 18 credits |
| 180 | 120 | 144 | 24 credits |
Both columns are defensible readings of federal figures. That spread is not a rounding quibble — at 180 quarter hours it is the difference between having met a 120-credit bachelor's requirement and being 24 credits short.
Where 1.5 actually comes from
Federal rules repeatedly state semester and quarter figures in parallel, never as a conversion. The academic-year definition is the clearest example:
(a) General. Except as provided in paragraph (c) of this section, an academic year for a program of study must include— (1)(i) For a program offered in credit hours, a minimum of 30 weeks of instructional time; or (ii) For a program offered in clock hours, a minimum of 26 weeks of instructional time; and (2) For an undergraduate educational program, an amount of instructional time whereby a full-time student is expected to complete at least— (i) Twenty-four semester or trimester credit hours or 36 quarter credit hours for a program measured in credit hours; or (ii) 900 clock hours for a program measured in clock hours. 34 CFR 668.3(a)
Twenty-four semester hours and thirty-six quarter hours describe the same academic year, so 36 ÷ 24 = 1.5. The clock-hour formula gives the same answer: at least 30 clock hours per semester hour, at least 20 per quarter hour, and 30 ÷ 20 = 1.5. Neither provision says to convert anything; the ratio is an inference drawn from putting them next to each other.
That inference is not just ours. The Department described its own formulas the same way in the Federal Register — as being based on a comparison of the definitions, rather than on any conversion rule.
Why the honest ratio is a range, not a number
The credit-hour definition in 34 CFR 600.2 measures a semester hour against roughly fifteen weeks and a quarter hour against ten to twelve weeks. Work through those figures and the implied ratio is not 1.5 — it is anywhere from 1.25 to 1.5, depending on which end of the quarter-length range your school sits at.
There is a second reason the number is soft. The 30 and 20 clock-hour figures are stated as minimums — at least that many. A school may require 40 clock hours per semester hour if it wants to. Dividing one floor by another produces a ratio that is exact only when both schools sit exactly on their floors.
So the receiving institution decides, and the differences are real: some truncate, some round to the nearest whole credit, some carry decimals and settle up at graduation. Two students with identical transcripts can arrive at different totals at different schools. If you are within a credit or two of a requirement, the registrar's method is the only answer that counts.
The one place you should not convert at all
Here is the mistake that costs money. When federal aid asks whether you are full time, it does not convert your quarter hours. The regulation reads "12 semester hours or 12 quarter hours per academic term." Twelve quarter hours is full time, full stop.
Convert first — 12 quarter hours × ⅔ = 8 semester hours — and you would conclude you are below the threshold and lose your aid on paper. The two systems are treated as parallel standards for enrollment status, not as quantities to be translated. Conversion belongs in transfer evaluation and degree audits, not in enrollment-status determinations.
Things that trip people up
- **联邦法规和 HEA 法条里没有任何一条规定 quarter → semester 的换算公式。** 逐条查过 34 CFR 600.2 / 668.2 / 668.3 / 668.8 / 690.92 和 20 U.S.C. 1088,全部只是把两种学制的门槛并列写出("24 semester or trimester credit hours or 36 quarter credit hours"),从来不写「1 quarter hour = X semester hour」。全网工具写死的 1.5:1 是把这些并列数值相除反推出来的商,不是法定系数。任何声称「联邦规定 1.5:1」的说法都找不到条文号。
- ED 自己就是这么反推的,而且写在了 Federal Register 里:80 FR 67178 逐字说 "Those formulas are based on a comparison of the definitions of an academic year... Thus, 900 divided by 24 equals the 37.5 clock hours... and 900 divided by 36 equals the 25 clock hours"。这既是 1.5:1 说法的最强背书,也是最强的反证——连监管机构都只能靠除法推,说明规则里本来就没有这个数。引用时要连「这是推导不是规定」一起说,否则等于伪造权威。
- 34 CFR 668.8(l) 的 30 / 20 是「至少」(must include **at least**),不是等式。学校完全可以规定 1 个 semester hour 需要 40 个 clock hour。所以 30 ÷ 20 = 1.5 得到的是「两个下限之比」,不是「两种学分之比」。而且 668.8(l) 只适用于受 668.8(k) 管辖的项目——两学年及以上的学位项目、以及课程可全额计入两年制以上学位的项目,都被 668.8(k)(1)-(2) 豁免,根本不适用这个公式。拿它当通用学分定义是最常见的误用。
- 34 CFR 600.2 的 credit hour 定义隐含的比例根本不是 1.5,而是一个区间。原文是 semester/trimester 约 **fifteen weeks**、quarter **ten to twelve weeks**,每周工作量相同 → 1 semester hour 相当于 15/12 = 1.25 到 15/10 = 1.5 个 quarter hour。10 周制学季才刚好 1.5,11 周制是 1.36,12 周制只有 1.25。也就是说 668.3/668.8 隐含的 1.5 与 600.2 隐含的区间只在端点重合,联邦体系内部本身就不自洽。
Rules verified against primary sources on 2026-08-08.