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we are given
A small company’s net income for the first six months of the year was $76,500
Let's assume net income for first six month as X
so,
[tex] X=76500 [/tex]
and we have
A small company’s net income for the last six months of the year was $100,000
Let's assume net income for last six month as Y
so, we get
[tex] Y=100000 [/tex]
now, we have to find the ratio of the first six months of the year to the last six months of the year in simplest form
so, we need to find
[tex] =\frac{X}{Y} [/tex]
we can plug values of X and Y
[tex] =\frac{76500}{100000} [/tex]
We can cancel last two zeros
[tex] =\frac{765}{1000} [/tex]
we can factor top term
[tex] =\frac{765}{1000} [/tex]
[tex] =\frac{5*153}{5*200} [/tex]
now, we can cancel 5
[tex] =\frac{153}{200} [/tex]
It can not be simplified further
so,
[tex] \frac{X}{Y}=\frac{153}{200} [/tex].............Answer