Reduction and expansion of decimal fractions - Examples, Exercises and Solutions

The topic of reducing and expanding decimal numbers is extremely easy.
All you need to remember is the following phrase:

If we add the digit 0 at the end of a decimal number (to the right), the value of the decimal number will not change.

What does this tell us?

Let's look at some examples:
We can compare $0.4$ and $0.40$ precisely because of the phrase we saw earlier.
In fact, $4$ tenths is equivalent to $40$ hundredths.
Similarly, we can compare $2.56$ and the decimal number $2.560$ and also the decimal number $2.5600$

What does this have to do with the simplification and amplification of decimal numbers?

When we compare these decimal numbers and do not calculate the meaning of $0$ , we are simplifying and expanding without realizing it.

Detailed explanation

Practice Reduction and expansion of decimal fractions

Question 1

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

$$ 0.36= $$

Question 2

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

$$ 0.5= $$

Question 3

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

$$ 0.350 $$

Question 4

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

$$ 0.630 $$

Question 5

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

$$ 0.8 $$

examples with solutions for reduction and expansion of decimal fractions

Exercise #1

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

$0.36=$

Video Solution

Answer

$\frac{9}{25}$

Exercise #2

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

$0.5=$

Video Solution

Answer

$\frac{1}{2}$

Exercise #3

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

$0.350$

Video Solution

Answer

$\frac{7}{20}$

Exercise #4

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

$0.630$

Video Solution

Answer

$\frac{63}{100}$

Exercise #5

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

$0.8$

Video Solution

Answer

$\frac{4}{5}$

Question 1

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

$$ 0.58 $$

Question 2

Write the following decimal as a fraction and simplify:

$$ 0.75 $$

Question 3

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

$$ 1.4 $$

Question 4

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

$$ 2.6 $$

Question 5

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

$$ 6.9 $$