# Algebra I

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Find the multiplicative inverse of the number.

-9

Please explain and give steps as well. Thank you.

• Algebra I -

The multiplicative inverse of the number is that number which when multiplied gives you 1

so (?)(-9) = 1

must be -1/9

• Algebra I -

oh okay but what about fractions and mixed numbers?

• Algebra I -

To form the multiplicative inverse of a fraction , simply take its reciprocal,

e.g. for 4/7 , its x-inverse is 7/4
(4/7)(7/4) = 28/28 = 1

To form the multiplicative inverse of a mixed fraction, change the mixed fraction to an improper fraction and proceed as above

e.g. 4 3/5
= 23/5
so the x-inverse is 5/23

• Algebra I -

Oh okay, i see thank you!

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