The Major scale is one of the most important concepts in Music. Pretty much every scale, chord, progression, and song use some algorhythm and variation of the major scale. Consequently, practicing the major scale is very Important. When Practicing the major scale, play the right hand first. Then play the Left. Once you get comfortable with playing the two hands separately, try to play them together. Slowly. Be sure to Learn all 12 major scales. Below is the C major scale for the right hand with suggested fingering.
1 2 3 1 2 3 4 5 5 4 3 2 1 3 2 1