Decimal Fractions - Advanced - Examples, Exercises and Solutions

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:

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

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:

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

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:

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

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:

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

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:

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

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:

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

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:

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

First let's fill the zeros in the empty space as follows:

$006.310\\+216.222\\\$

Here We should note that the decimal points are written one below the other.

Therefore, the exercise is written in the appropriate form.

First let's fill in the zeros in the empty spaces as follows:

$21.52\\+03.40\\$Note that the decimal points are written one below the other.

Therefore, the positions of the decimal points correspond and thus the exercise is written in the correct form.

Note that the decimal points are not written one below the other. They do not correspond.

Therefore, the exercise is not written correctly.

Note that the decimal points are not written one below the other. They do not correspond.

Therefore, the exercise is not written correctly.

To avoid confusion, we will first add the digit 0 to the number 5.4 as follows:

$5.40\\+3.22\\$

Now let's solve the exercise in order:

We'll add the hundredths after the decimal point:

$0+2=2$

We'll then add the tenths after the decimal point:

$4+2=6$

Finally, we'll add the whole numbers before the decimal point:

$5+3=8$

Finally, simply solve the addition as follows:

$5.40\\+3.22\\8.62$

To avoid confusion, we will first add the digit 0 to the number 6.4 as follows:

$1.02\\+6.40\\$

Now let's solve the exercise in order:

We'll start by adding the hundredths after the decimal point:

$2+0=2$

We'll then add the tenths after the decimal point:

$0+4=4$

Finally, we will add the units before the decimal point:

$1+6=7$

Finally, calculate as follows:

$1.02\\+6.40\\7.42$

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 6.55 as follows:

$6.550\\+3.412\\$

Now let's solve the exercise in order:

Let's add the thousandths after the decimal point:

$0+2=2$

Let's add the hundredths after the decimal point:

$5+1=6$

Let's add the tenths after the decimal point:

$5+4=9$

Finally, let's add the whole numbers before the decimal point:

$6+3=9$

And we obtain the following:

$6.550\\+3.412\\9.962$

To avoid confusion when solving the exercise, we will first add the digit 0 to the number 112.3 as follows:

$111.25\\+112.30\\$

First we'll combine the hundredths after the decimal point:

$5+0=5$

Next we'll combine the tenths after the decimal point:

$2+3=5$

Finally, we'll combine the whole numbers before the decimal point accordingly:

$1+2=3$

$1+1=2$

$1+1=2$

This gives us:

$111.25\\+112.30\\223.55$