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 $\displaystyle 2$. 

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