Respuesta :
Answer:
[tex]3\frac{7}{9}[/tex]
Step-by-step explanation:
We can rewrite 3.7 repeating as 3.7777777.....
Let x = 3.7777777....... -------(1) [multiply 10 to both side]
10x = 37.777777...... ----------(2) [subtract equation (1) from equation(2)]
10x - x = 37.777777 - 3.7777777
9x = 34
x = [tex]\frac{34}{9}[/tex]
= [tex]3\frac{7}{9}[/tex]
The mixed number of 3.7 repeating is [tex]3\frac{7}{9}[/tex]
