Answer:
57/200
Step-by-step explanation:
285/1000 The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 5.
Why divide by 5? 5 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 285 and 1000.
So, this fraction reduced to lowest terms is
57/200
So your final answer is: 0.285 can be written as the fraction 57/200
−0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]
To write a given decimal as a fraction in its simplest form,
We will first express the decimal as a fraction and then reduce it to its lowest form.
The given decimal is −0.258
−0.258 written in fraction is [tex]-\frac{258}{1000}[/tex]
Now, we will reduce [tex]-\frac{258}{1000}[/tex] to its lowest form
First, we will divide both the numerator and denominator by 2 (Since 2 is a common factor)
We get
[tex]-\frac{258}{1000} = -\frac{258 \div 2}{1000 \div 2} = -\frac{129}{500}[/tex]
Since the fraction cannot be reduced further, then −0.258 as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]
Hence, −0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]
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