To convert this fraction to a decimal number, divide the numerator by the denominator. Since this fraction has a larger numerator than denominator, the fraction is classified as an improper fraction. This means that the fraction represents a value greater than one whole. Thus, the solution must be greater than one. 


\(\displaystyle \frac{23}{5}=23\div5= 4.6\)

Note that \(\displaystyle 5\) fits into \(\displaystyle 23\) evenly \(\displaystyle 4\) times, and has a remainder for of \(\displaystyle \frac{3}{5}=\frac{6}{10}=0.6\)

Fractions and decimals both represent part of a whole. To solve this problem you may divide \(\displaystyle 34\) by \(\displaystyle 200\), or you can reduce the fraction by dividing the numerator and denominator by the common factor of \(\displaystyle 2.\) This will equal a fraction of \(\displaystyle 17\) hundredths, which can be written as the decimal number "zero and \(\displaystyle 17\) hundredths."

\(\displaystyle \frac{34}{200}=\frac{34\div 2}{200\div 2}=\frac{17}{100}=0.17\)


Note: both \(\displaystyle 34\div200\) and \(\displaystyle 17\div100\) equal \(\displaystyle 0.17\)

Decimal numbers and fractions both represent part of a whole. This decimal number has a value of \(\displaystyle 7\) in the tenths and thousandths place values. Since the decimal number reaches the thousandths place, the correct answer is \(\displaystyle 707\) over \(\displaystyle 1,000\)--which represents \(\displaystyle 707\) thousandths.  


\(\displaystyle 0.707=\frac{707}{1,000}\)

Both decimals and fractions represent part of a whole. To convert this decimal number to a mixed number fraction, use the following steps:

\(\displaystyle 1.08=1\frac{8}{100}\) 

(because the decimal number has a \(\displaystyle 1\) in the ones place value and an \(\displaystyle 8\) in the hundredths place value). 

Then simplify \(\displaystyle \frac{8}{100}\).

\(\displaystyle \frac{8}{100}=\frac{4}{50}=\frac{2}{25}\)

Thus, the correct answer is \(\displaystyle 1\frac{2}{25}\)

Both decimals and fractions represent part of a whole. Since this decimal number has a value of \(\displaystyle 9\) in the tenths place and a value of \(\displaystyle 8\) in the hundredths place, it can be re-written as:

 \(\displaystyle \frac{98}{100}\).

Then, simplify the fraction by dividing both the numerator and denominator by a divisor of \(\displaystyle 2.\)

Thus, the solution is:

\(\displaystyle 0.98=\frac{98}{100}=\frac{98\div 2}{100\div 2}=\frac{49}{50}\)

This problem requires several conversions. First, convert \(\displaystyle 8.045\) into a mixed number fraction. This means, the new fraction will have a whole number of \(\displaystyle 8\) and a fraction that represents \(\displaystyle 45\) thousandths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator. 

Thus, the solution is:

\(\displaystyle 8.045=8\frac{45}{1,000}=8\frac{45\div 5}{1,000\div 5}=8\frac{9}{200}=\frac{(8\times 200)+9}{200}=\frac{1,609}{200}\)

This problem requires two conversions. First convert \(\displaystyle 6.7\) to a mixed number fraction. This must equal a whole number of \(\displaystyle 6\) and a fraction that represents a value of \(\displaystyle 7\) tenths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.  

Thus, the solution is:
\(\displaystyle 6.70=6\frac{7}{10}=\frac{(6\times 10)+7}{10}=\frac{67}{10}\)

To solve this problem, make a mixed number fraction with a whole number of \(\displaystyle 2\) and a fraction that represents \(\displaystyle 25\) hundredths. Then simplify the fraction portion of the mixed number by dividing the numerator and denominator by their largest common divisor. 

\(\displaystyle 2.25=2\frac{25}{100}=2\frac{25\div 25}{100\div 25}=2\frac{1}{4}\)

This problem requires you to first convert the decimal number to a mixed number fraction that has a whole number of \(\displaystyle 3\) and a fraction that represents \(\displaystyle 504\) thousandths. Then reduce the numerator and denominator by common divisors until you can no longer simplify the fraction. 



\(\displaystyle 3.504=3\frac{504}{1,000}=3\frac{504\div 4}{1,000\div 4}=3\frac{126}{250}=3\frac{126\div 2}{250\div 2}=3\frac{63}{125}\)

Both fractions and decimals represent part of a whole. The value of this decimal number reaches the ten-thousandths place value. Thus, the fraction must represent \(\displaystyle 646\) ten-thousandths. Then reduce the numerator and denominator by the common divisor of \(\displaystyle 2\). 

\(\displaystyle 0.0646=\frac{646}{10,000}=\frac{646\div 2}{10,000\div 2}=\frac{323}{5,000}\)