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Rufina [12.5K]
2 years ago
7

What is 3.7 repeating, as a mixed number

Mathematics
2 answers:
Molodets [167]2 years ago
5 0

Answer:

3\frac{7}{9}

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 = \frac{34}{9}

  = 3\frac{7}{9}

The mixed number of 3.7 repeating is 3\frac{7}{9}

Marianna [84]2 years ago
4 0
I believe it is 3 7/11
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