Evaluate the expression $$ \frac{5}{6}+\frac{3}{4} \cdot\left(\frac{1}{3}-\frac{1}{5}\right) $$ Which of the operations should you calculate first? divide add multiply subtract Enter the new expression after making that calculation.

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \frac{5}{6}+\frac{3}{4} \cdot\left(\frac{1}{3}-\frac{1}{5}ight) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5}{6}+\frac{3}{4}\left(\frac{1}{3}-\frac{1}{5}ight)$$
- step1: Subtract the numbers:
  $$\frac{5}{6}+\frac{3}{4}	imes \frac{2}{15}$$
- step2: Multiply the numbers:
  $$\frac{5}{6}+\frac{1}{10}$$
- step3: Reduce fractions to a common denominator:
  $$\frac{5	imes 5}{6	imes 5}+\frac{3}{10	imes 3}$$
- step4: Multiply the numbers:
  $$\frac{5	imes 5}{30}+\frac{3}{10	imes 3}$$
- step5: Multiply the numbers:
  $$\frac{5	imes 5}{30}+\frac{3}{30}$$
- step6: Transform the expression:
  $$\frac{5	imes 5+3}{30}$$
- step7: Multiply the numbers:
  $$\frac{25+3}{30}$$
- step8: Add the numbers:
  $$\frac{28}{30}$$
- step9: Reduce the fraction:
  $$\frac{14}{15}$$
The expression $$ \frac{5}{6}+\frac{3}{4} \cdot\left(\frac{1}{3}-\frac{1}{5}ight) $$ simplifies to $$ \frac{14}{15} $$ or $$ 0.933 $$.

To calculate this expression, you should first perform the subtraction inside the parentheses, then multiply, and finally add.
First, subtract: $$ \frac{1}{3}-\frac{1}{5} $$, then multiply, and finally add.

Evaluate the expression
Which of the operations should you calculate first?
divide
add
multiply
subtract
Enter the new expression after making that calculation.

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Evaluate the expression Which of the operations should you calculate first? divide add multiply subtract Enter the new expression after making that calculation.