Multiplicative Inverse of -22/7

The multiplicative inverse of a number is a number that when multiplied by the original number gives a product of 1. In other words, it is the reciprocal of the original number. To find the multiplicative inverse of -22/7, we need to find a number that when multiplied by -22/7 gives a product of 1.

Calculating the Multiplicative Inverse

To calculate the multiplicative inverse of -22/7, we can use the formula:

Multiplicative inverse of a number = 1/number

So, the multiplicative inverse of -22/7 can be calculated as:

Multiplicative inverse of -22/7 = 1/(-22/7)

Simplifying the Fraction

To simplify the fraction, we can multiply the numerator and denominator by -1, which does not change the value of the fraction, but makes the numerator positive. So, we get:

Multiplicative inverse of -22/7 = 1/(-22/7) x (-1/-1)

Multiplicative inverse of -22/7 = -7/22

Conclusion

Therefore, the multiplicative inverse of -22/7 is -7/22. We can verify this by multiplying the original fraction and its inverse:

-22/7 x (-7/22) = (-22 x -7)/(7 x 22) = 154/154 = 1

Hence, we can conclude that the multiplicative inverse of -22/7 is -7/22.