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Ahat [919]
3 years ago
5

How do you convert 2.67 (67 repeating) as a fraction

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0

Answer:

265/99

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.67 (67 repeating)

With 2 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 102 = 100

Equation 2:

100X=267.67 (67 repeating)

Subtract equation 1 from equation 2

100X = 267.67 (67 repeating)

X       = 2.67

We get :99X =   265

Solve for X

X=265/99

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