Cole Logan
08/02/2023 · Middle School
\( ((\frac{3}{2}\div \frac{9}{3})+\frac{5}{2})-(((\frac{7}{2}+\frac{2}{5}).\frac{5}{2}).\frac{1}{3}) \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( ((3/2)/(9/3)+5/2)-(((7/2+2/5)*(5/2)*(1/3)) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{\frac{3}{2}}{\left(\frac{9}{3}\right)}+\frac{5}{2}\right)-\left(\left(\frac{7}{2}+\frac{2}{5}\right)\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step1: Remove the parentheses:
\(\left(\frac{\frac{3}{2}}{\frac{9}{3}}+\frac{5}{2}\right)-\left(\left(\frac{7}{2}+\frac{2}{5}\right)\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step2: Divide the terms:
\(\left(\frac{\frac{3}{2}}{3}+\frac{5}{2}\right)-\left(\left(\frac{7}{2}+\frac{2}{5}\right)\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step3: Divide the terms:
\(\left(\frac{1}{2}+\frac{5}{2}\right)-\left(\left(\frac{7}{2}+\frac{2}{5}\right)\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step4: Add the terms:
\(3-\left(\left(\frac{7}{2}+\frac{2}{5}\right)\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step5: Add the terms:
\(3-\left(\frac{39}{10}\times \frac{5}{2}\times \frac{1}{3}\right)\)
- step6: Multiply the terms:
\(3-\frac{13}{4}\)
- step7: Reduce fractions to a common denominator:
\(\frac{3\times 4}{4}-\frac{13}{4}\)
- step8: Calculate:
\(\frac{12}{4}-\frac{13}{4}\)
- step9: Transform the expression:
\(\frac{12-13}{4}\)
- step10: Subtract the numbers:
\(\frac{-1}{4}\)
- step11: Calculate:
\(-\frac{1}{4}\)
The result of the expression \( ((\frac{3}{2}\div \frac{9}{3})+\frac{5}{2})-(((\frac{7}{2}+\frac{2}{5}).\frac{5}{2}).\frac{1}{3}) \) is \(-\frac{1}{4}\) or \(-0.25\).
Quick Answer
El resultado de la expresión es \(-\frac{1}{4}\) o \(-0.25\).
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