Various typo fixes

docs/api-guide/serializers.md

@@ -287,7 +287,7 @@ Similarly if a nested representation should be a list of items, you should pass
 
 ## Writable nested representations
 
-When dealing with nested representations that support deserializing the data, an errors with nested objects will be nested under the field name of the nested object.
+When dealing with nested representations that support deserializing the data, any errors with nested objects will be nested under the field name of the nested object.
 
     serializer = CommentSerializer(data={'user': {'email': 'foobar', 'username': 'doe'}, 'content': 'baz'})
     serializer.is_valid()
@@ -356,7 +356,7 @@ It is possible that a third party package, providing automatic support some kind
 
 #### Handling saving related instances in model manager classes
 
-An alternative to saving multiple related instances in the serializer is to write custom model manager classes handle creating the correct instances.
+An alternative to saving multiple related instances in the serializer is to write custom model manager classes that handle creating the correct instances.
 
 For example, suppose we wanted to ensure that `User` instances and `Profile` instances are always created together as a pair. We might write a custom manager class that looks something like this:
 
@@ -478,7 +478,7 @@ For example:
             model = Account
             fields = '__all__'
 
-You can set the `exclude` attribute of the to a list of fields to be excluded from the serializer.
+You can set the `exclude` attribute to a list of fields to be excluded from the serializer.
 
 For example:
 
@@ -551,7 +551,7 @@ Please review the [Validators Documentation](/api-guide/validators/) for details
 
 ## Additional keyword arguments
 
-There is also a shortcut allowing you to specify arbitrary additional keyword arguments on fields, using the `extra_kwargs` option. Similarly to `read_only_fields` this means you do not need to explicitly declare the field on the serializer.
+There is also a shortcut allowing you to specify arbitrary additional keyword arguments on fields, using the `extra_kwargs` option. As in the case of `read_only_fields`, this means you do not need to explicitly declare the field on the serializer.
 
 This option is a dictionary, mapping field names to a dictionary of keyword arguments. For example:
 
@@ -832,7 +832,7 @@ This class implements the same basic API as the `Serializer` class:
 * `.data` - Returns the outgoing primitive representation.
 * `.is_valid()` - Deserializes and validates incoming data.
 * `.validated_data` - Returns the validated incoming data.
-* `.errors` - Returns an errors during validation.
+* `.errors` - Returns any errors during validation.
 * `.save()` - Persists the validated data into an object instance.
 
 There are four methods that can be overridden, depending on what functionality you want the serializer class to support: