simply swapor interchange the roles of the numerator and denominator. You might say that we simply turn the original portion upside down.

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This deserve to be tricky to some. Notice that the numerator is negative. If we rotate this fraction upside down, we should naturally get


Since this is anegative fraction, the negative symbol may not always“follow” the number the it is initially attached to.

In other words, the an adverse symbol can stay in the numerator. And also so, after ~ inverting the 2 numbers, the an unfavorable symbol is now attached to 2. This is also a valid answer together the reciprocal of the initial fraction.

Thereis one more means to compose the mutual of this an unfavorable fraction. The an adverse symbol may not be attached either come the molecule or denominator.

It is also correct to place the an unfavorable symbol straight to the left the the fraction bar. This is exactly how it looks!

So in summary, if the fraction is negativeits reciprocal have the right to be written three ways.

Negative symbol continues to be with the numeratorNegative symbol stays with the denominatorNegative symbol remains with the spring bar

Example 3: write the reciprocal of the negative portion below in three various ways.

Example 4: find the reciprocal of the totality number 15.

Any nonzero entirety number deserve to be expressed v a denominator that 1.

Example 5: discover the reciprocal of the integer- 11.

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First, rewrite this integer v a denominator that 1 together well.

By having actually a unique denominator, we can now find its reciprocal. We have a an unfavorable symbol ~ above the numerator, remember the it can be positioned in three different places: numerator, denominator and by the portion bar. Below are the feasible answers!

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Adding and Subtracting Fractions v the same DenominatorAdd and also Subtract fountain with different DenominatorsMultiplying FractionsDividing FractionsSimplifying FractionsEquivalent Fractions

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