To convert 0.7 grams into its simplest fractional form, we will follow several steps to attain a clear, simplified answer.
1. Express 0.7 as a fraction:
[tex]\[
0.7 = \frac{7}{10}
\][/tex]
This represents 0.7 in fractional form, with 7 being the numerator and 10 being the denominator.
2. Simplify the fraction:
To simplify [tex]\(\frac{7}{10}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator (7) and the denominator (10). The GCD of 7 and 10 is 1 because 7 is a prime number and has no common factors with 10 besides 1.
3. Simplified form:
Since the greatest common divisor is 1, the fraction [tex]\(\frac{7}{10}\)[/tex] is already in its simplest form:
[tex]\[
\frac{7}{10}
\][/tex]
4. Determine if the fraction is a mixed number:
For a fraction to be converted into a mixed number, the numerator must be greater than the denominator. In this case, 7 is less than 10, so we do not have a mixed number.
Thus, the simplified form of 0.7 grams as a fraction is:
[tex]\[
\frac{7}{10}
\][/tex]
Since the numerator (7) is less than the denominator (10), there are no whole numbers present, and no further simplification is needed. The final answer is simply:
[tex]\[
\frac{7}{10}
\][/tex]
