diff --git a/lib/ecto/adapters/sqlite3/connection.ex b/lib/ecto/adapters/sqlite3/connection.ex
index 91d46bc..907f66d 100644
--- a/lib/ecto/adapters/sqlite3/connection.ex
+++ b/lib/ecto/adapters/sqlite3/connection.ex
@@ -1203,7 +1203,6 @@ defmodule Ecto.Adapters.SQLite3.Connection do
     quote_name(field)
   end
 
-  # def expr({{:., _, [{:parent_as, _, [{:&, _, [idx]}]}, field]}, _, []}, _sources, query)
   def expr({{:., _, [{:parent_as, _, [as]}, field]}, _, []}, _sources, query)
       when is_atom(field) do
     {ix, sources} = get_parent_sources_ix(query, as)
@@ -1288,6 +1287,14 @@ defmodule Ecto.Adapters.SQLite3.Connection do
     |> parens_for_select
   end
 
+  def expr({:literal, _, [literal]}, _sources, _query) do
+    quote_name(literal)
+  end
+
+  def expr({:selected_as, _, [name]}, _sources, _query) do
+    [quote_name(name)]
+  end
+
   def expr({:datetime_add, _, [datetime, count, interval]}, sources, query) do
     [
       "CAST (",
@@ -1366,6 +1373,7 @@ defmodule Ecto.Adapters.SQLite3.Connection do
     end
   end
 
+  # TODO It technically is, its just a json array, so we *could* support it
   def expr(list, _sources, query) when is_list(list) do
     raise Ecto.QueryError,
       query: query,
@@ -1404,8 +1412,7 @@ defmodule Ecto.Adapters.SQLite3.Connection do
   end
 
   def expr(literal, _sources, _query) when is_float(literal) do
-    # Unsure if SQLite3 supports float casting
-    ["(0 + ", Float.to_string(literal), ?)]
+    ["CAST(", Float.to_string(literal), " AS REAL)"]
   end
 
   def expr(expr, _sources, query) do
diff --git a/test/ecto/adapters/sqlite3/connection_test.exs b/test/ecto/adapters/sqlite3/connection_test.exs
index 82ffda0..1dc3c9f 100644
--- a/test/ecto/adapters/sqlite3/connection_test.exs
+++ b/test/ecto/adapters/sqlite3/connection_test.exs
@@ -946,7 +946,30 @@ defmodule Ecto.Adapters.SQLite3.ConnectionTest do
       |> select([], true)
       |> plan()
 
-    assert all(query) == ~s{SELECT 1 FROM "schema" AS s0 WHERE (s0."foo" = (0 + 123.0))}
+    assert all(query) ==
+             ~s{SELECT 1 FROM "schema" AS s0 WHERE (s0."foo" = CAST(123.0 AS REAL))}
+
+    name = "y"
+
+    query =
+      "schema"
+      |> where(fragment("? = ?", literal(^name), "Main"))
+      |> select([], true)
+      |> plan()
+
+    assert all(query) == ~s|SELECT 1 FROM "schema" AS s0 WHERE ("y" = 'Main')|
+  end
+
+  test "selected_as" do
+    query =
+      from(s in "schema",
+        select: %{
+          y: selected_as(s.y, :y2)
+        }
+      )
+      |> plan()
+
+    assert all(query) == ~s|SELECT s0."y" AS "y2" FROM "schema" AS s0|
   end
 
   test "tagged type" do
diff --git a/test/ecto/integration/crud_test.exs b/test/ecto/integration/crud_test.exs
index ef8d036..51267d9 100644
--- a/test/ecto/integration/crud_test.exs
+++ b/test/ecto/integration/crud_test.exs
@@ -244,5 +244,53 @@ defmodule Ecto.Integration.CrudTest do
 
       assert [_] = TestRepo.all(from(a in Account, as: :user, where: exists(subquery)))
     end
+
+    test "can handle fragment literal" do
+      account1 = TestRepo.insert!(%Account{name: "Main"})
+
+      name = "name"
+      query = from(a in Account, where: fragment("? = ?", literal(^name), "Main"))
+
+      assert [account] = TestRepo.all(query)
+      assert account.id == account1.id
+    end
+
+    test "can handle selected_as" do
+      TestRepo.insert!(%Account{name: "Main"})
+      TestRepo.insert!(%Account{name: "Main"})
+      TestRepo.insert!(%Account{name: "Main2"})
+      TestRepo.insert!(%Account{name: "Main3"})
+
+      query =
+        from(a in Account,
+          select: %{
+            name: selected_as(a.name, :name2),
+            count: count()
+          },
+          group_by: selected_as(:name2)
+        )
+
+      assert [
+               %{name: "Main", count: 2},
+               %{name: "Main2", count: 1},
+               %{name: "Main3", count: 1}
+             ] = TestRepo.all(query)
+    end
+
+    test "can handle floats" do
+      TestRepo.insert!(%Account{name: "Main"})
+
+      one = "1.0"
+      two = 2.0
+
+      query =
+        from(a in Account,
+          select: %{
+            sum: ^one + ^two
+          }
+        )
+
+      assert [%{sum: 3.0}] = TestRepo.all(query)
+    end
   end
 end