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Convert 0.946 to a fraction.
Give your answer in its simplest
form.


Sagot :

To convert the decimal 0.946 to a fraction, we need to follow these steps:

1. Understand the Decimal: The decimal 0.946 really means 946 thousandths, or:

[tex]\[ 0.946 = \frac{946}{1000} \][/tex]

2. Simplification:
We need to simplify this fraction by finding the greatest common divisor (GCD) of the numerator (946) and the denominator (1000).

3. Find the GCD:
The greatest common divisor of 946 and 1000 is 2.

4. Divide Both Numerator and Denominator:
By dividing both the numerator and the denominator by their GCD, we simplify:

[tex]\[ \frac{946 \div 2}{1000 \div 2} = \frac{473}{500} \][/tex]

Thus, the fraction [tex]\(\frac{946}{1000}\)[/tex] simplifies to [tex]\(\frac{473}{500}\)[/tex].

So, the decimal 0.946 as a fraction in its simplest form is:

[tex]\[ \frac{473}{500} \][/tex]