Reduction and Expansion of Decimal Fractions: Converting fractions to their simplest form

Write the following decimal fraction as a simple fraction and simplify:

$0.36=$

Since there are two digits after the decimal point, we divide 36 by 100:

$\frac{36}{100}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 4, so:

$\frac{36:4}{100:4}=\frac{9}{25}$

$\frac{9}{25}$

Write the following decimal fraction as a simple fraction and simplify:

$0.350$

Since there are three digits after the decimal point, we divide 350 by 1000:

$\frac{350}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 50, so:

$\frac{350:50}{1000:50}=\frac{7}{20}$

$\frac{7}{20}$

Write the following decimal fraction as a simple fraction and simplify:

$0.630$

Since there are three digits after the decimal point, we divide 630 by 1000:

$\frac{630}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 10, so:

$\frac{630:10}{1000:10}=\frac{63}{100}$

$\frac{63}{100}$

Write the following decimal fraction as a simple fraction and simplify:

$0.5=$

Since there is one digit after the decimal point, we divide 5 by 10:

$\frac{5}{10}$

Now let's find the highest number that divides both the numerator and the denominator.

In this case, the number is 5, so:

$\frac{5:5}{10:5}=\frac{1}{2}$

$\frac{1}{2}$

Write the following decimal fraction as an imaginary fraction and simplify:

$11.3$

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we will divide 3 by 10 and add 11, as follows:

$11+\frac{3}{10}$

Since it cannot be simplified further, the answer is:

$11\frac{3}{10}$

$11\frac{3}{10}$

Write the following decimal fraction as an imaginary fraction and simplify:

$6.9$

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we'll divide 9 by 10 and add 6, as follows:

$6+\frac{9}{10}$

Since it can't be simplified further, the answer is:

$6\frac{9}{10}$

$6\frac{9}{10}$

Write the following decimal as a fraction and simplify:

$0.75$

Since there are two digits after the decimal point, we divide 75 by 100:

$\frac{75}{100}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 25, so:

$\frac{75:25}{100:25}=\frac{3}{4}$

$\frac{3}{4}$

Write the following decimal fraction as a simple fraction and simplify:

$0.58$

Since there are two digits after the decimal point, we divide 58 by 100:

$\frac{58}{100}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 2, so:

$\frac{58:2}{100:2}=\frac{29}{50}$

$\frac{29}{50}$

Write the following decimal fraction as a simple fraction and simplify:

$0.8$

Since there is one digit after the decimal point, we divide 8 by 10:

$\frac{8}{10}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 2, so:

$\frac{8:2}{10:2}=\frac{4}{5}$

$\frac{4}{5}$

Write the following decimal fraction as an imaginary fraction and simplify:

$16.4$

$16\frac{2}{5}$

Write the following decimal fraction as an imaginary fraction and simplify:

$1.4$

$1\frac{2}{5}$

Write the following decimal fraction as an imaginary fraction and simplify:

$2.6$

$2\frac{3}{5}$

Write the following decimal fraction as an imaginary fraction and simplify:

$15.96$

$15\frac{24}{25}$

Write the following decimal fraction as an imaginary fraction and simplify:

$18.25$

$18\frac{1}{4}$

Write the following decimal fraction as an imaginary fraction and simplify:

$32.80$

$32\frac{4}{5}$

Write the following decimal fraction as an imaginary fraction and simplify:

$66.322$

$66\frac{161}{500}$

Write the following decimal fraction as an imaginary fraction and simplify:

$36.105$

$36\frac{21}{200}$