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Margaret [11]
3 years ago
10

Express the recurring decimal 0.142 as a fraction in its simplest form

Mathematics
2 answers:
Sonja [21]3 years ago
7 0

Answer:

\frac{47}{330}

Step-by-step explanation:

We require to create 2 equations with the recurring part (42) placed after the decimal point.

let x = 0.14242 ( multiply both sides by 10 and 1000 )

10x = 1.4242... → (1)

1000x = 142.4242... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

990x = 141 ( divide both sides by 990 )

x = \frac{141}{990} = \frac{47}{330}

sasho [114]3 years ago
4 0

Answer:

0.142/100

<em><u>so</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>would</u></em><em><u> </u></em><em><u>be</u></em><em><u> </u></em><em><u>71</u></em><em><u>/</u></em><em><u>50</u></em><em><u> </u></em>

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