diff --git a/packages/tailwindcss/src/plugin-api.ts b/packages/tailwindcss/src/plugin-api.ts
index 7ef13aff9..143765321 100644
--- a/packages/tailwindcss/src/plugin-api.ts
+++ b/packages/tailwindcss/src/plugin-api.ts
@@ -140,6 +140,7 @@ export function buildPluginApi(
 
           // Resolve the candidate value
           let value: string | null = null
+          let isFraction = false
 
           {
             let values = options?.values ?? {}
@@ -165,6 +166,8 @@ export function buildPluginApi(
               value = values[candidate.value.value]
             } else if (values.__BARE_VALUE__) {
               value = values.__BARE_VALUE__(candidate.value) ?? null
+
+              isFraction = (candidate.value.fraction !== null && value?.includes('/')) ?? false
             }
           }
 
@@ -190,7 +193,7 @@ export function buildPluginApi(
           }
 
           // A modifier was provided but is invalid
-          if (candidate.modifier && modifier === null) {
+          if (candidate.modifier && modifier === null && !isFraction) {
             // For arbitrary values, return `null` to avoid falling through to the next utility
             return candidate.value?.kind === 'arbitrary' ? null : undefined
           }