Hello Brothers and sisters,this blog is about the prayer Hail Mary. Many Many Catholics are obligated to explain this prayer to none Catholics with being accused of worshiping another person other then God the almighty,but of course this is not true at all. In Luke 1:28 The ArchAngel Gabriel says to Mary "Hail! Full of grace the Lord is with thee:Blessed art thou among women" (in some bibles it might be diffrent) As you can plainly see the first part of the Hail Mary was made from this verse,so obviously saying Hail Mary isn't bad since An Angel of God said it too. The other part of the prayer "Blessed art thou among women and blessed is the fruit of thy womb Jesus." is backed up by Luke 1:43-42 "And it came to pass, that, when Elisabeth (Mary's Cousin) Heard  the salutation of Mary, the babe leaped in her womb; and Elisabeth was filled with the Holy Ghost:And she spake out with a loud voice and said, Blessed art Thou among women, and blessed is the fruit of thy womb." So obviously saying that she is blessed isn't bad since Elisabeth said it while being filled with the Holy Ghost of God. And the Rest of course is the truth,Also part of it is backed up by scripture:"Holy Mary Mother of God pray for us sinners now and at the hour of our death Amen." the Part Holy Mother of God is backed up by Luke 1:43 "And whence is this to me, that the Mother of my Lord should come to me?" 
Another way you could see it is in smaller sections. We Glorify God by giving Honor to Mary,How? Well take a look.
Hail Mary full of grace- Your saying May someone greater then Mary Hail her (God) 
The Lord is with thee Blessed art though Among Women and blessed is the fruit of thy womb Jesus- Your stating that it is a Great Honor to be with the Lord. And Your also saying Jesus is blessed.
Holy Mary Mother of God pray for us sinners now and at the hour of our death Amen- your stating she should vouch for you to a higher power (God).    
Lets say the prayer together,Hail Mary full of Grace the Lord is with thee,Blessed art thou among women and blessed is the fruit of thy womb Jesus,Holy Mary Mother of God Pray for us sinners now and at the hour of our death Amen.
Pray for us Holy Mother of God that we may be made worthy of the promises of Christ Amen.
 Thank you and God bless all.