Solve the Fraction Equation: 8/10 - 1/5 - 2/10

Solve the following equation:

81015210= \frac{8}{10}-\frac{1}{5}-\frac{2}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:02 We want to find the least common denominator
00:05 Therefore multiply by 2, to find the common denominator 10
00:08 Remember to multiply both numerator and denominator
00:15 Subtract under the common denominator
00:22 Calculate the numerator
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

81015210= \frac{8}{10}-\frac{1}{5}-\frac{2}{10}=

2

Step-by-step solution

Let's try to identify the lowest common denominator between 10 and 5.

In order to identify the lowest common denominator, we need to find a number that is divisible by both 10 and 5.

In this case, the common denominator is 10.

Let's proceed to multiply each fraction by the appropriate number in order 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

8×110×11×25×22×110×1=810210210 \frac{8\times1}{10\times1}-\frac{1\times2}{5\times2}-\frac{2\times1}{10\times1}=\frac{8}{10}-\frac{2}{10}-\frac{2}{10}

Finally let's subtract as follows:

82210=6210=410 \frac{8-2-2}{10}=\frac{6-2}{10}=\frac{4}{10}

3

Final Answer

410 \frac{4}{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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