Solve the Triple Fraction Subtraction: 5/6 - 2/4 - 3/12

5624312= \frac{5}{6}-\frac{2}{4}-\frac{3}{12}=

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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 we'll multiply by 2 and 3 respectively to find the common denominator
00:09 Remember to multiply both numerator and denominator
00:22 Let's calculate the multiplications
00:31 Subtract under the common denominator
00:36 Let's calculate the numerator
00:46 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

5624312= \frac{5}{6}-\frac{2}{4}-\frac{3}{12}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 6, 4, and 12

To find the lowest common denominator, we need to find a number that is divisible by 6, 4, and 12

In this case, the common denominator is 12

Now we'll multiply each fraction by the appropriate number to reach the denominator 12

We'll multiply the first fraction by 2

We'll multiply the second fraction by 3

We'll multiply the third fraction by 1

5×26×22×34×33×112×1=1012612312 \frac{5\times2}{6\times2}-\frac{2\times3}{4\times3}-\frac{3\times1}{12\times1}=\frac{10}{12}-\frac{6}{12}-\frac{3}{12}

Now we'll subtract and get:

106312=4312=112 \frac{10-6-3}{12}=\frac{4-3}{12}=\frac{1}{12}

3

Final Answer

112 \frac{1}{12}

Practice Quiz

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

\( 5:6= \)

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