Solve of the the squares of The two Positive numbers 1300 of the number 20 find the other is | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { 1000 - 800 \times 0.0130 } \\ { \frac { 1 } { 6 } + 86600 + 800 } \\ { \frac { 10668680 } { 1000 } \times 1000 } \end{array} \right.$$

Sort

$989.6,\ \frac{524401}{6},\ 10668680$

Solution Steps

Multiply $800$ and $0.013$ to get $10.4$.

$$sort(1000-10.4,\frac{1}{6}+86600+800,\frac{10668680}{1000}\times 1000)$$

Subtract $10.4$ from $1000$ to get $989.6$.

$$sort(989.6,\frac{1}{6}+86600+800,\frac{10668680}{1000}\times 1000)$$

Convert $86600$ to fraction $\frac{519600}{6}$.

$$sort(989.6,\frac{1}{6}+\frac{519600}{6}+800,\frac{10668680}{1000}\times 1000)$$

Since $\frac{1}{6}$ and $\frac{519600}{6}$ have the same denominator, add them by adding their numerators.

$$sort(989.6,\frac{1+519600}{6}+800,\frac{10668680}{1000}\times 1000)$$

Add $1$ and $519600$ to get $519601$.

$$sort(989.6,\frac{519601}{6}+800,\frac{10668680}{1000}\times 1000)$$

Convert $800$ to fraction $\frac{4800}{6}$.

$$sort(989.6,\frac{519601}{6}+\frac{4800}{6},\frac{10668680}{1000}\times 1000)$$

Since $\frac{519601}{6}$ and $\frac{4800}{6}$ have the same denominator, add them by adding their numerators.

$$sort(989.6,\frac{519601+4800}{6},\frac{10668680}{1000}\times 1000)$$

Add $519601$ and $4800$ to get $524401$.

$$sort(989.6,\frac{524401}{6},\frac{10668680}{1000}\times 1000)$$

Reduce the fraction $\frac{10668680}{1000}$ to lowest terms by extracting and canceling out $40$.

$$sort(989.6,\frac{524401}{6},\frac{266717}{25}\times 1000)$$

Express $\frac{266717}{25}\times 1000$ as a single fraction.

$$sort(989.6,\frac{524401}{6},\frac{266717\times 1000}{25})$$

Multiply $266717$ and $1000$ to get $266717000$.

$$sort(989.6,\frac{524401}{6},\frac{266717000}{25})$$

Divide $266717000$ by $25$ to get $10668680$.

$$sort(989.6,\frac{524401}{6},10668680)$$

Convert decimal numbers in the list $989.6,\frac{524401}{6},10668680$ to fractions.

$$\frac{4948}{5},\frac{524401}{6},10668680$$

Least common denominator of the numbers in the list $\frac{4948}{5},\frac{524401}{6},10668680$ is $30$. Convert numbers in the list to fractions with denominator $30$.

$$\frac{29688}{30},\frac{2622005}{30},\frac{320060400}{30}$$

Evaluate

$989.6,\ \frac{524401}{6},\ 10668680$