Solving Equations with Fractions

Front

What is the process of isolating a variable in an equation with fractions?

Back

To isolate a variable in an equation with fractions, you can use inverse operations to move terms to the other side of the equation, ensuring to maintain equality. This often involves finding a common denominator.

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CCSS.6.EE.B.7

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CCSS.7.NS.A.1C

Front

What is the inverse operation of subtraction?

Back

Addition.

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CCSS.HSA.REI.A.1

Front

What is the inverse operation of division?

Back

Multiplication.

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CCSS.4.NBT.B.6

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CCSS.6.EE.B.7

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CCSS.6.EE.B.7

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for easy addition or subtraction.

Front

How do you add fractions with different denominators?

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To add fractions with different denominators, first find a common denominator, convert each fraction, and then add the numerators.

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the first step in solving an equation with fractions?

Back

The first step is often to eliminate the fractions by multiplying through by the least common denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.