Solve the Fraction Expression: 3/5 - 1/10 - 1/5 Step by Step

3511015= \frac{3}{5}-\frac{1}{10}-\frac{1}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply each fraction by 2 and 2 respectively to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:21 Calculate the multiplications
00:30 Subtract with the common denominator
00:36 Calculate the numerator
00:42 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

3511015= \frac{3}{5}-\frac{1}{10}-\frac{1}{5}=

2

Step-by-step solution

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

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

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 2

We'll multiply the second fraction by 1

We'll multiply the third fraction by 2

3×25×21×110×11×25×2=610110210 \frac{3\times2}{5\times2}-\frac{1\times1}{10\times1}-\frac{1\times2}{5\times2}=\frac{6}{10}-\frac{1}{10}-\frac{2}{10}

Now let's subtract:

61210=5210=310 \frac{6-1-2}{10}=\frac{5-2}{10}=\frac{3}{10}

3

Final Answer

310 \frac{3}{10}

Practice Quiz

Test your knowledge with interactive questions

You have a pair of denominators, what is their least common multiple?

\( \boxed 7~~~\boxed 5 \)

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