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Describe how to create an equivalent equation from an equation that has fractions or decimals. Explain how to decide what numbers to use to multiply. Also, explain any other important things to remember when using this process.

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Answer:

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Step-by-step explanation:

So, with an equation with decimals, we can use the same method we used to clear fractions—multiply both sides of the equation by the least common denominator. Look at the decimals and think of the equivalent fractions. Notice, the LCD is 100. By multiplying by the LCD, we will clear the decimals from the equation.

Answer: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.

If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".

Steps: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.

For example:

[tex]\frac{2}{3}x-\frac{5}{4}=\frac{1}{2}[/tex]

Here denominators are 3,4 and 2. So the LCM of them is = 12

Multiply both sides by 12.

[tex]12(\frac{2}{3}x-\frac{5}{4})=12(\frac{1}{2})\\8x-15=6[/tex]

If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".

For example:  0.324x - 0.92 = 0.526

Here maximum number of places after decimal is = 3.

So we will multiply both sides by 1000.

1000(0.324x - 0.92) = 1000(0.526)

324x - 920 = 526

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