Decimal fractions - advanced - Examples, Exercises and Solutions

$4.1\cdot1.6\cdot3.2+4.7=\text{?}$

We convert decimal numbers into mixed fractions:

$4\frac{1}{10}\times1\frac{6}{10}\times3\frac{2}{10}+4\frac{7}{10}=$

Now, we convert mixed fractions into simple fractions:

$\frac{41}{10}\times\frac{16}{10}\times\frac{32}{10}+\frac{47}{10}=$

We solve the exercise from left to right:

$\frac{41\times16}{10\times10}=\frac{656}{100}$

Now we get the exercise:

$\frac{656}{100}\times\frac{32}{10}+\frac{47}{10}=$

We solve the multiplication exercise:

$\frac{656\times32}{100\times10}=\frac{20,992}{1,000}$

Now we get the exercise:

$\frac{20,992}{1,000}+\frac{47}{10}=$

We multiply the fraction on the right so that its denominator is also 1000:

$\frac{47\times100}{10\times100}=\frac{4,700}{1,000}$

We get the exercise:

$\frac{20,992}{1,000}+\frac{4,700}{1,000}=\frac{20,992+4,700}{1,000}=\frac{25,692}{1,000}$

We convert the simple fraction into a decimal number:

$\frac{25,692}{1,000}=25.692$

25.692

Solve the following exercise and circle the appropriate answer:

22

What is the number of the tenths?

1.3

3

What is the number of the ones?

0.4

0

What is the number of the ones?

0.07

0

What is the hundredth?

0.96

6

What is the number of the ones?

0.81

0

Solve the following exercise and circle the appropriate answer:

10.1

Solve the following exercise and circle the appropriate answer:

41.31

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

$0.36=$

$\frac{9}{25}$

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

$0.5=$

$\frac{1}{2}$

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

$0.350$

$\frac{7}{20}$

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

$0.630$

$\frac{63}{100}$

$0.75+0.35=$

1.1

What is the number of the tenths?

0.96

9