Evaluate. $$ \frac{5!6!}{3!8!} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (5!6!)/(3!8!) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(5!	imes 6!ight)}{\left(3!	imes 8!ight)}$$
- step1: Remove the parentheses:
  $$\frac{5!	imes 6!}{3!	imes 8!}$$
- step2: Expand the expression:
  $$\frac{5	imes 4	imes 3!	imes 6!}{3!	imes 8!}$$
- step3: Simplify:
  $$\frac{5	imes 4	imes 6!}{8!}$$
- step4: Expand the expression:
  $$\frac{5	imes 4	imes 6!}{8	imes 7	imes 6!}$$
- step5: Simplify:
  $$\frac{5	imes 4}{8	imes 7}$$
- step6: Multiply the numbers:
  $$\frac{20}{8	imes 7}$$
- step7: Multiply the numbers:
  $$\frac{20}{56}$$
- step8: Reduce the fraction:
  $$\frac{5}{14}$$
The value of the expression $$\frac{5!6!}{3!8!}$$ is approximately 0.3571428.
The value is approximately 0.3571428.

Evaluate.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Arithmetic Questions