How to create a Navigation Drawer and Bottom Bar in the same app

<?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"
xmlns:tools="http://schemas.android.com/tools"
android:id="@+id/drawer_layout"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:fitsSystemWindows="true"
tools:openDrawer="start">
<RelativeLayout
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:orientation="vertical"
    >
    <include
       ----- text showing -----/>

    <android.support.design.widget.BottomNavigationView
        android:id="@+id/navigation"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:layout_alignParentBottom="true"
        android:background="@color/colorPrimary"
        app:itemTextColor="@color/colorAccent"
        app:itemIconTint="@color/colorWhite"
        app:menu="@menu/bottom_navigation_item"/>
</RelativeLayout>

<android.support.design.widget.NavigationView
    android:id="@+id/nav_view"
    android:layout_width="wrap_content"
    android:layout_height="match_parent"
    android:layout_gravity="start"
    android:fitsSystemWindows="true"
    app:headerLayout="@layout/nav_header_main"
    app:menu="@menu/activity_main_drawer" />

You could try

<?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"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/drawer_layout"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    tools:context="com.example.chuks.vibefmbenin.MainActivity">

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

    <!-- The main content that loads the fragments -->
    <FrameLayout
        android:id="@+id/frament_layout"
        android:layout_width="match_parent"
        android:layout_height="match_parent"/>

    <!-- Setting the corodinator layout inorder to pull the bottom
         navigation view down to the bottom-->
    <android.support.design.widget.CoordinatorLayout
        android:layout_width="wrap_content"
        android:layout_height="wrap_content">  <!--The bottom navigation -->

        <android.support.design.widget.BottomNavigationView
            android:id="@+id/navigationBottom"
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:layout_gravity="bottom"
            android:background="?android:attr/windowBackground"
            app:menu="@menu/navigation_bottom"/>

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

    <!-- The navigation drawer that comes from the left -->
    <!-- Note that `android:layout_gravity` needs to be set to 'start' -->
    <android.support.design.widget.NavigationView
        android:id="@+id/navigation_view"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        app:menu="@menu/navigation_menu"
        android:layout_gravity="start"
        app:headerLayout="@layout/navigation_header">

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

There are two possible solutions to your problem.

1. It's quite easy. Give your BottomNavigationView a certain height, let's say 56dp and then give this as marginBottom of NavigationView.
2. Keep it as it is. Just assign your DrawerLayout's property layout_above="@+id/bottom_navigation.