$$ \frac{{ }_{4} \mathrm{C}_{3}}{{ }_{15} \mathrm{C}_{3}} $$ $$ \frac{{ }_{4} \mathrm{C}_{3}}{{ }_{15} \mathrm{C}_{3}}=\square $$ (Simplify your answer.)

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Calculate or simplify the expression $$ \frac{{4 \choose 3}}{{15 \choose 3}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{ { }_{4}C_{3}}{ { }_{15}C_{3}}$$
- step1: Expand the expression:
  $$\frac{\frac{4!}{3!	imes \left(4-3ight)!}}{ { }_{15}C_{3}}$$
- step2: Subtract the numbers:
  $$\frac{\frac{4!}{3!	imes 1!}}{ { }_{15}C_{3}}$$
- step3: Reduce the fraction:
  $$\frac{\frac{4}{1!}}{ { }_{15}C_{3}}$$
- step4: Calculate the value:
  $$\frac{4}{ { }_{15}C_{3}}$$
- step5: Expand the expression:
  $$\frac{4}{\frac{15!}{3!	imes \left(15-3ight)!}}$$
- step6: Subtract the numbers:
  $$\frac{4}{\frac{15!}{3!	imes 12!}}$$
- step7: Reduce the fraction:
  $$\frac{4}{\frac{15	imes 14	imes 13}{3!}}$$
- step8: Multiply the terms:
  $$\frac{4}{\frac{2730}{3!}}$$
- step9: Divide the terms:
  $$\frac{4}{455}$$
The value of $$ \frac{{4 \choose 3}}{{15 \choose 3}} $$ is $$ \frac{4}{455} $$ or approximately 0.0087912.
$$ \frac{4}{455} $$

(Simplify your answer.)

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