diff --git a/cardano-api/cardano-api.cabal b/cardano-api/cardano-api.cabal
index 9a1ce6f9a15..4055010a1c9 100644
--- a/cardano-api/cardano-api.cabal
+++ b/cardano-api/cardano-api.cabal
@@ -62,6 +62,7 @@ library
                         Cardano.Api.HasTypeProxy
                         Cardano.Api.IPC
                         Cardano.Api.IPC.Monad
+                        Cardano.Api.Json
                         Cardano.Api.Key
                         Cardano.Api.KeysByron
                         Cardano.Api.KeysPraos
diff --git a/cardano-api/src/Cardano/Api/Json.hs b/cardano-api/src/Cardano/Api/Json.hs
new file mode 100644
index 00000000000..4fdbf9d4de2
--- /dev/null
+++ b/cardano-api/src/Cardano/Api/Json.hs
@@ -0,0 +1,21 @@
+module Cardano.Api.Json
+  ( toRationalJSON
+  ) where
+
+import           Data.Aeson
+import           Data.Either
+import           Data.Maybe
+import           Data.Scientific
+import           GHC.Real
+
+-- Rationals and JSON are an awkward mix. We cannot convert rationals
+-- like @1/3@ to JSON numbers. But _most_ of the numbers we want to use
+-- in practice have simple decimal representations. Our solution here is
+-- to use simple decimal representations where we can and representation
+-- in a @{"numerator": 1, "denominator": 3}@ style otherwise.
+--
+toRationalJSON :: Rational -> Value
+toRationalJSON r =
+  case fromRationalRepetendLimited 20 r of
+    Right (s, Nothing) -> toJSON s
+    _                  -> toJSON r
diff --git a/cardano-api/src/Cardano/Api/Orphans.hs b/cardano-api/src/Cardano/Api/Orphans.hs
index fcecc2e0c96..3550879b73f 100644
--- a/cardano-api/src/Cardano/Api/Orphans.hs
+++ b/cardano-api/src/Cardano/Api/Orphans.hs
@@ -16,18 +16,19 @@ module Cardano.Api.Orphans () where
 
 import           Prelude
 
+import           Data.Aeson (FromJSON (..), ToJSON (..), object, (.=), (.!=), (.:), (.:?))
+import qualified Data.Aeson as Aeson
+import           Data.Aeson.Types (FromJSONKey (..), ToJSONKey (..), toJSONKeyText)
 import qualified Data.ByteString.Base16 as B16
 import           Data.Text (Text)
 import qualified Data.Text as Text
 import qualified Data.Text.Encoding as Text
 import qualified Data.Map.Strict as Map
-import           Data.Aeson (FromJSON (..), ToJSON (..), object, (.=), (.!=), (.:), (.:?))
-import qualified Data.Aeson as Aeson
-import           Data.Aeson.Types (FromJSONKey (..), ToJSONKey (..), toJSONKeyText)
 
 import           Control.Applicative
 import           Control.Iterate.SetAlgebra (BiMap (..), Bimap)
 
+import           Cardano.Api.Json
 import qualified Cardano.Ledger.BaseTypes as Ledger
 import           Cardano.Ledger.BaseTypes (StrictMaybe (..), strictMaybeToMaybe)
 import           Cardano.Ledger.Crypto (StandardCrypto)
@@ -302,8 +303,8 @@ deriving instance FromJSON Alonzo.ExUnits
 instance ToJSON Alonzo.Prices where
   toJSON Alonzo.Prices { Alonzo.prSteps, Alonzo.prMem } =
     -- We cannot round-trip via NonNegativeInterval, so we go via Rational
-    object [ "prSteps" .= Ledger.unboundRational prSteps
-           , "prMem"   .= Ledger.unboundRational prMem
+    object [ "prSteps" .= toRationalJSON (Ledger.unboundRational prSteps)
+           , "prMem"   .= toRationalJSON (Ledger.unboundRational prMem)
            ]
 
 instance FromJSON Alonzo.Prices where
diff --git a/cardano-api/src/Cardano/Api/ProtocolParameters.hs b/cardano-api/src/Cardano/Api/ProtocolParameters.hs
index 77f9832d255..29af9224f21 100644
--- a/cardano-api/src/Cardano/Api/ProtocolParameters.hs
+++ b/cardano-api/src/Cardano/Api/ProtocolParameters.hs
@@ -57,23 +57,20 @@ module Cardano.Api.ProtocolParameters (
 
 import           Prelude
 
+import           Control.Monad
+import           Data.Aeson (FromJSON (..), ToJSON (..), object, withObject,
+                   (.!=), (.:), (.:?), (.=))
+import           Data.Bifunctor (bimap)
 import           Data.ByteString (ByteString)
 import           Data.Map.Strict (Map)
 import qualified Data.Map.Strict as Map
 import           Data.String (IsString)
-import qualified Data.Scientific as Scientific
 import           Data.Text (Text)
 import           Data.Maybe (fromMaybe)
 import           GHC.Generics
 import           Numeric.Natural
 
-import           Control.Monad
-
-import           Data.Aeson (FromJSON (..), ToJSON (..), object, withObject,
-                   (.!=), (.:), (.:?), (.=))
-import qualified Data.Aeson as Aeson
-import           Data.Bifunctor (bimap)
-
+import           Cardano.Api.Json
 import qualified Cardano.Binary as CBOR
 import qualified Cardano.Crypto.Hash.Class as Crypto
 import           Cardano.Slotting.Slot (EpochNo)
@@ -343,18 +340,6 @@ instance ToJSON ProtocolParameters where
       , "collateralPercentage"   .= protocolParamCollateralPercent
       , "maxCollateralInputs"    .= protocolParamMaxCollateralInputs
       ]
-    where
-      -- Rationals and JSON are an awkward mix. We cannot convert rationals
-      -- like @1/3@ to JSON numbers. But _most_ of the numbers we want to use
-      -- in practice have simple decimal representations. Our solution here is
-      -- to use simple decimal representations where we can and representation
-      -- in a @{"numerator": 1, "denominator": 3}@ style otherwise.
-      --
-      toRationalJSON :: Rational -> Aeson.Value
-      toRationalJSON r =
-        case Scientific.fromRationalRepetend (Just 5) r of
-          Right (s, Nothing) -> toJSON s
-          _                  -> toJSON r
 
 
 -- ----------------------------------------------------------------------------
@@ -475,6 +460,7 @@ data ProtocolParametersUpdate =
        -- This is the \"tau\" incentives parameter from the design document.
        --
        protocolUpdateTreasuryCut :: Maybe Rational,
+
        -- Introduced in Alonzo
 
        -- | Cost in ada per word of UTxO storage.
@@ -714,8 +700,9 @@ instance FromCBOR ExecutionUnitPrices where
 
 instance ToJSON ExecutionUnitPrices where
   toJSON ExecutionUnitPrices{priceExecutionSteps, priceExecutionMemory} =
-    object [ "priceSteps"  .= priceExecutionSteps
-           , "priceMemory" .= priceExecutionMemory ]
+    object [ "priceSteps"  .= toRationalJSON priceExecutionSteps
+           , "priceMemory" .= toRationalJSON priceExecutionMemory
+           ]
 
 instance FromJSON ExecutionUnitPrices where
   parseJSON =