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vladimir2022 [97]
2 years ago
11

Write the number 1.8 in the form a/b, using integers, to show that it is a rational number.

Mathematics
2 answers:
julsineya [31]2 years ago
5 0
1.8 = 1 8/10 = 18/10 = 9/5
Pepsi [2]2 years ago
3 0

1. Note that the number 1.8 consists of two parts 1 and 0.8.

2. The decimal 0.8 can be written as the fraction \dfrac{8}{10}.

3. Add these two numbers:

1+\dfrac{8}{10}=\dfrac{10}{10}+\dfrac{8}{10}=\dfrac{10+8}{10}=\dfrac{18}{10}.

4. Since 18=2·3·3 and 10=2·5, the fraction \dfrac{18}{10} can be simplified to the rational number

\dfrac{18}{10}=\dfrac{2\cdot 3\cdot 3}{2\cdot 5}=\dfrac{3\cdot 3}{5}=\dfrac{9}{5}.

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