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True [87]
3 years ago
6

Express 0·4393939... as a fraction in its lowest term

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

\frac{29}{66}

Step-by-step explanation:

We require 2 equations with the repeating digits 39 placed after the decimal point.

let x = 0.43939... ( multiply both sides by 10 and 1000 )

10x = 4.3939... → (1)

1000x = 439.3939... → (2)

Subtract (1) from (2) eliminating the repeating digits

990x = 435 ( divide both sides by 990 )

x = \frac{435}{990} = \frac{29}{66} ← in simplest form

Evgen [1.6K]3 years ago
3 0

Answer:

x= 439/999

Step-by-step explanation:

let x= 0.439439....    -> eq.1

1000x= 439.439439....    -> eq.2

eq.2-eq.1 =>   1000-x= 439.439....-0.439439...

                            999x= 439

                               x= 439/999

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4 years ago
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Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x(1.05)   Equation/Question

Step 2

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