Using CoordinatorLayout in fragments with ActionBa

I have problem using Android Design Support Library. I would like to use CoordinatorLayout inside fragment for FAB and ActionBar animations while scroll, but I having ActionBar in activity layout and my CardGridStaggeredView and FAB in fragment.

activity layout:

<?xml version="1.0" encoding="utf-8"?>
<android.support.v4.widget.DrawerLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/tools"
    xmlns:app1="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/drawer"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:fitsSystemWindows="true"
    tools:context=".MainActivity">

        <LinearLayout
            android:layout_width="match_parent"
            android:layout_height="match_parent"
            android:orientation="vertical">

            <android.support.design.widget.AppBarLayout
                android:id="@+id/appBarLayout"
                android:layout_width="match_parent"
                android:layout_height="wrap_content"
                android:theme="@style/ThemeOverlay.AppCompat.Dark.ActionBar"
                android:fitsSystemWindows="true">

                <android.support.v7.widget.Toolbar
                    android:id="@+id/toolbar"
                    android:layout_width="match_parent"
                    android:layout_height="?attr/actionBarSize"
                    android:background="?attr/colorPrimary"
                    app:popupTheme="@style/ThemeOverlay.AppCompat.Light"
                    app:layout_collapseMode="pin"
                    app:layout_scrollFlags="scroll|enterAlways" />

            </android.support.design.widget.AppBarLayout>

            <FrameLayout   <!--Here I display fragments-->
                android:id="@+id/fragment"
                android:layout_width="match_parent"
                android:layout_height="match_parent" />
        </LinearLayout>

    <android.support.design.widget.NavigationView
        android:id="@+id/navigation_view"
        android:layout_width="wrap_content"
        android:layout_height="match_parent"
        android:layout_gravity="start"
        app:headerLayout="@layout/header"
        app:menu="@menu/drawer"
        app1:itemTextColor="@android:color/black"/>

</android.support.v4.widget.DrawerLayout>

fragment layout:

<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
                xmlns:tools="http://schemas.android.com/tools"
                xmlns:card="http://schemas.android.com/apk/res-auto"
                xmlns:app="http://schemas.android.com/apk/res-auto"
                style="@style/FragmentTheme"
                tools:context="androidhive.info.materialdesign.activity.HomeFragment">

    <FrameLayout
        android:orientation="vertical"
        android:layout_width="match_parent"
        android:layout_height="match_parent">

        <android.support.v4.widget.SwipeRefreshLayout
            android:id="@+id/swipe_container"
            android:layout_width="match_parent"
            android:layout_height="match_parent">

            <it.gmariotti.cardslib.library.extra.staggeredgrid.view.CardGridStaggeredView
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:numColumns="2"
                android:stretchMode="columnWidth"
                android:verticalSpacing="2dp"
                android:horizontalSpacing="2dp"
                android:padding="1dp"
                android:gravity="center"
                card:list_card_layout_resourceID="@layout/carddemo_extras_base_staggered_card"
                style="@style/main_layout_foreground"
                android:id="@+id/cgvImages"
                app:layout_behavior="@string/appbar_scrolling_view_behavior"/>

        </android.support.v4.widget.SwipeRefreshLayout>

        <android.support.design.widget.FloatingActionButton
            android:id="@+id/fab"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:src="@drawable/ic_add"
            android:layout_gravity="bottom|end"
            app:elevation="6dp"
            app:pressedTranslationZ="12dp"/>

    </FrameLayout>
</RelativeLayout>

I tried to use CoordinatorLayout in Activity and Fragment, but it didn't work. Is any way to use CoordinatorLayout with ActionBar in Activity and other views in fragment?

I have Activity with DrawerLayout and Fragments with CoordinatorLayout working just fine (pay attention where fitsSystemWindows attributes are set)

here is activity layout:

<?xml version="1.0" encoding="utf-8"?>
<android.support.v4.widget.DrawerLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:id="@+id/drawer_layout"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:fitsSystemWindows="true">

    <!-- Framelayout to display Fragments -->
    <FrameLayout
        android:id="@+id/main_content"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:fitsSystemWindows="true"
        android:background="@color/color_primary" />

    <android.support.design.widget.NavigationView
        android:id="@+id/menu_container"
        android:layout_width="wrap_content"
        android:layout_height="match_parent"
        android:layout_gravity="start">

        <LinearLayout
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:orientation="vertical">

            <!-- Listview to display slider menu -->
            <ListView
                android:id="@+id/list_slidermenu"
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:background="@color/bm_white"
                android:choiceMode="singleChoice"
                android:listSelector="@drawable/list_selector"
                android:dividerHeight="0dp"
                android:divider="@null" />
            <!-- Картинки - fb, vk, twitter  -->

        </LinearLayout>

    </android.support.design.widget.NavigationView>

</android.support.v4.widget.DrawerLayout>

and fragment's xml with coordinator, action button etc:

<?xml version="1.0" encoding="utf-8"?>
<!--NOT SET HERE: android:fitsSystemWindows="true"-->
<android.support.design.widget.CoordinatorLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <!-- NOT SET HERE:  android:fitsSystemWindows="true" -->
    <android.support.design.widget.AppBarLayout
        android:id="@+id/appbar"
        android:layout_width="match_parent"
        android:layout_height="@dimen/detail_backdrop_height"
        android:theme="@style/ThemeOverlay.AppCompat.Dark.ActionBar">

        <android.support.design.widget.CollapsingToolbarLayout
            android:id="@+id/collapsing_toolbar"
            android:layout_width="match_parent"
            android:layout_height="match_parent"
            app:contentScrim="?attr/colorPrimary"
            app:expandedTitleMarginEnd="64dp"
            app:expandedTitleMarginStart="48dp"
            app:layout_scrollFlags="scroll|exitUntilCollapsed">

            <RelativeLayout
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                app:layout_collapseMode="parallax">

                <ImageView
                    android:id="@+id/backdrop"
                    android:layout_width="wrap_content"
                    android:layout_height="wrap_content"
                    android:layout_centerHorizontal="true"
                    android:layout_alignParentTop="true"
                    android:adjustViewBounds="true"
                    android:scaleType="centerCrop"
                    android:src="@drawable/pic_top_main" />

            </RelativeLayout>

            <android.support.v7.widget.Toolbar
                android:id="@+id/toolbar"
                android:layout_width="match_parent"
                android:layout_height="?attr/actionBarSize"
                app:layout_collapseMode="pin"
                app:layout_scrollFlags="scroll|enterAlways"
                app:popupTheme="@style/ThemeOverlay.AppCompat.Light"
                android:theme="@style/ThemeOverlay.AppCompat.Dark.ActionBar" />

        </android.support.design.widget.CollapsingToolbarLayout>

    </android.support.design.widget.AppBarLayout>

    <android.support.v4.widget.NestedScrollView
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_gravity="fill_vertical"
        app:behavior_overlapTop="32dp"
        app:layout_behavior="@string/appbar_scrolling_view_behavior">

        <LinearLayout
            android:id="@+id/ll_main_container"
            android:layout_width="match_parent"
            android:layout_height="match_parent"
            android:orientation="vertical">

            <!-- In code now… -->
            <!--<include layout="@layout/fragment_start_nonfc"/>-->
            <!--<include layout="@layout/fragment_start"/>-->

        </LinearLayout>

    </android.support.v4.widget.NestedScrollView>

    <android.support.design.widget.FloatingActionButton
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_gravity="bottom|right"
        android:layout_margin="@dimen/fab_margin"
        android:clickable="true"
        android:onClick="onClickPurchase_Remote"
        android:src="@drawable/btn_purchase"
        app:borderWidth="0dp"
        app:elevation="6dp"
        app:fabSize="normal"
        app:pressedTranslationZ="12dp" />

</android.support.design.widget.CoordinatorLayout>