(4) $$ \frac{10 \frac{2}{8} \frac{2}{8}}{5 \frac{3}{9} \frac{4}{8}} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 10*2/8*2/8/(5*3/9*4/8) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\frac{\frac{10	imes 2}{8}	imes 2}{8}}{\left(\frac{\frac{5	imes 3}{9}	imes 4}{8}ight)}$$
- step1: Remove the parentheses:
  $$\frac{\frac{\frac{10	imes 2}{8}	imes 2}{8}}{\frac{\frac{5	imes 3}{9}	imes 4}{8}}$$
- step2: Reduce the fraction:
  $$\frac{\frac{\frac{10	imes 2}{8}	imes 2}{8}}{\frac{\frac{5}{3}	imes 4}{8}}$$
- step3: Reduce the fraction:
  $$\frac{\frac{\frac{5}{2}	imes 2}{8}}{\frac{\frac{5}{3}	imes 4}{8}}$$
- step4: Multiply the numbers:
  $$\frac{\frac{5}{8}}{\frac{\frac{5}{3}	imes 4}{8}}$$
- step5: Multiply the numbers:
  $$\frac{\frac{5}{8}}{\frac{\frac{20}{3}}{8}}$$
- step6: Divide the terms:
  $$\frac{\frac{5}{8}}{\frac{5}{6}}$$
- step7: Multiply by the reciprocal:
  $$\frac{5}{8}	imes \frac{6}{5}$$
- step8: Reduce the numbers:
  $$\frac{1}{4}	imes 3$$
- step9: Multiply:
  $$\frac{3}{4}$$
The result of the expression $$ \frac{10 \frac{2}{8} \frac{2}{8}}{5 \frac{3}{9} \frac{4}{8}} $$ is $$ \frac{3}{4} $$ or 0.75.
The result is $$ \frac{3}{4} $$ or 0.75.

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