Answer:
[tex]0.2[/tex]
Step-by-step explanation:
1.) Express [tex]75[/tex] divided by [tex]375[/tex] as a fraction.
⇒ [tex]$ \mbox{\Large $ \frac{75}{375}$ } $\\[/tex]
2.) Get the prime factors of both the numerator and denominator and then simplify the fraction in lowest terms.
⇒ [tex]$ \mbox{\Large $ \frac{75}{375} = \frac{3 \times 5 \times 5}{3 \times 5 \times 5 \times 5} = \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} = \bold{0.2} $ } $\\[/tex]
3.) Therefore, the expression [tex]75[/tex] divided by [tex]375[/tex] evaluates to [tex]0.2[/tex].
I hope this helps you understand this concept in Mathematics.
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