Question

Xavier, Yessie, and Zorro each choose a different favorite positive fraction. Each fraction is in simplest form. Yessie's fraction is the reciprocal of Xavier's. Zorro multiplies his favorite fraction by Xavier's and finds a product of 12/35. Zorro then multiplies his favorite fraction by Yessie's fraction and finds a product of 15/7.

Answer 1

Answer:

the fractions are:

Xavier= 2/5

Yessie = 5/2

Zorro = 6/7

Answer 2

Answer:

Xavier's favorite fraction is 2/5

Yessie's favorite fraction is 5/2

Zorro's favorite fraction is 6/7

Step-by-step explanation:

We first introduce variables for each person's favorite positive fraction.

We will put

Xavier as X,

Yessie as Y,

Zorro as Z.

When Zorro multiplies Z by X, he finds the product of 12/35.

When Zorro multiplies Z by Y, he finds the product of 15/7.

When Xavier multiples X by Y, he finds the product of 1.

So, Z(X)=12/35, Z(Y)=15/7, and X(Y)=1.