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¿Cuál es la fracción equivalente al número decimal 1.125?

A. [tex]\frac{8}{9}[/tex]
B. [tex]\frac{9}{8}[/tex]
C. [tex]\frac{1}{25}[/tex]
D. [tex]\frac{125}{1000}[/tex]

Answer :

To find the fraction equivalent to the decimal number 1.125, we'll go through the following steps:

1. Express the Decimal as a Fraction:
- The decimal 1.125 can be written as 1 + 0.125.
- We know that 0.125 is the same as [tex]\( \frac{125}{1000} \)[/tex].

2. Convert the Fraction:
- Simplify [tex]\( \frac{125}{1000} \)[/tex] by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 125.
- [tex]\( \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \)[/tex].

3. Combine the Whole Number and the Fraction:
- Add the whole number 1 to the simplified fraction.
- So, 1.125 becomes [tex]\( 1 + \frac{1}{8} = \frac{8}{8} + \frac{1}{8} = \frac{9}{8} \)[/tex].

Therefore, the fraction equivalent to the decimal number 1.125 is [tex]\( \frac{9}{8} \)[/tex].

So, the correct answer is:
B) [tex]\( \frac{9}{8} \)[/tex]

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