Solve 5764 - 80256/192 + 219618/249; 73689/87 - 96064/158 + 310726; 400000 - 408 * 309 + 340 * 750 | Equatix - Math Solver

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$\left. \begin{array} { l } { 5764 - 80256 : 192 + 2196 : 18 : 249 } \\ { 73689 : 87 - 96064 : 158 + 310726 } \\ { 400000 - 408 \cdot 309 + 340 \cdot 750 } \end{array} \right.$$

Sort

$\frac{1331276}{249},\ 310965,\ 528928$

Solution Steps

Divide $80256$ by $192$ to get $418$.

$$sort(5764-418+\frac{\frac{2196}{18}}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Subtract $418$ from $5764$ to get $5346$.

$$sort(5346+\frac{\frac{2196}{18}}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Express $\frac{\frac{2196}{18}}{249}$ as a single fraction.

$$sort(5346+\frac{2196}{18\times 249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Multiply $18$ and $249$ to get $4482$.

$$sort(5346+\frac{2196}{4482},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Reduce the fraction $\frac{2196}{4482}$ to lowest terms by extracting and canceling out $18$.

$$sort(5346+\frac{122}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Convert $5346$ to fraction $\frac{1331154}{249}$.

$$sort(\frac{1331154}{249}+\frac{122}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Since $\frac{1331154}{249}$ and $\frac{122}{249}$ have the same denominator, add them by adding their numerators.

$$sort(\frac{1331154+122}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Add $1331154$ and $122$ to get $1331276$.

$$sort(\frac{1331276}{249},\frac{73689}{87}-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Divide $73689$ by $87$ to get $847$.

$$sort(\frac{1331276}{249},847-\frac{96064}{158}+310726,400000-408\times 309+340\times 750)$$

Divide $96064$ by $158$ to get $608$.

$$sort(\frac{1331276}{249},847-608+310726,400000-408\times 309+340\times 750)$$

Subtract $608$ from $847$ to get $239$.

$$sort(\frac{1331276}{249},239+310726,400000-408\times 309+340\times 750)$$

Add $239$ and $310726$ to get $310965$.

$$sort(\frac{1331276}{249},310965,400000-408\times 309+340\times 750)$$

Multiply $408$ and $309$ to get $126072$.

$$sort(\frac{1331276}{249},310965,400000-126072+340\times 750)$$

Subtract $126072$ from $400000$ to get $273928$.

$$sort(\frac{1331276}{249},310965,273928+340\times 750)$$

Multiply $340$ and $750$ to get $255000$.

$$sort(\frac{1331276}{249},310965,273928+255000)$$

Add $273928$ and $255000$ to get $528928$.

$$sort(\frac{1331276}{249},310965,528928)$$

Convert decimal numbers in the list $\frac{1331276}{249},310965,528928$ to fractions.

$$\frac{1331276}{249},310965,528928$$

Evaluate

$\frac{1331276}{249},\ 310965,\ 528928$