Solve the Fraction Expression: 4/10 - 1/5 - 1/10 Step by Step

41015110= \frac{4}{10}-\frac{1}{5}-\frac{1}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We want to find the least common denominator
00:06 Therefore multiply by 2, to find the common denominator 10
00:09 Remember to multiply both numerator and denominator
00:16 Calculate the multiplications
00:25 Subtract under the common denominator
00:30 Calculate the numerator
00:38 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

41015110= \frac{4}{10}-\frac{1}{5}-\frac{1}{10}=

2

Step-by-step solution

Let's try to find the least common denominator between 10 and 5

To find the least common denominator, we need to find a number that is divisible by both 10 and 5

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 1

We'll multiply the second fraction by 2

We'll multiply the third fraction by 1

4×110×11×25×21×110×1=410210110 \frac{4\times1}{10\times1}-\frac{1\times2}{5\times2}-\frac{1\times1}{10\times1}=\frac{4}{10}-\frac{2}{10}-\frac{1}{10}

Now we'll subtract and get:

42110=2110=110 \frac{4-2-1}{10}=\frac{2-1}{10}=\frac{1}{10}

3

Final Answer

110 \frac{1}{10}

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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