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Gennadij [26K]
3 years ago
11

Rewrite as a simplified fraction. 0.67 where 7 repeats forever

Mathematics
1 answer:
mars1129 [50]3 years ago
6 0

Answer:

\frac{61}{90}

Step-by-step explanation:

We require to create 2 equations with the repeated value 7 after the decimal point

Let x = 0.6777777... ← multiply both sides by 10 and 100

10x = 6.777...... → (1)

100x = 67.777..... → (2)

Subtract (1) from (2) thus eliminating the repeating value

90x = 61 ( divide both sides by 60 )

x = \frac{61}{90}

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The complete question in the attached figure

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