Solve ( dot x )^ 3 15 ху | 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

$$\left. \begin{array} { l } { \frac { 1 } { 4 } \times 6 } \\ { \frac { 7 } { 7 } \times 6 } \\ { \frac { 1 } { 8 } \times 3 } \\ { \frac { 15 } { 16 } \times 4 } \\ { \frac { 15 } { 6 } \times 4 } \end{array} \right.$$

Sort

$\frac{3}{8},\frac{3}{2},\frac{15}{4},6,10$

Solution Steps

Divide $7$ by $7$ to get $1$.

$$sort(\frac{1}{4}\times 6,1\times 6,\frac{1}{8}\times 3,\frac{15}{16}\times 4,\frac{15}{6}\times 4)$$

Multiply $\frac{1}{4}$ and $6$ to get $\frac{6}{4}$.

$$sort(\frac{6}{4},1\times 6,\frac{1}{8}\times 3,\frac{15}{16}\times 4,\frac{15}{6}\times 4)$$

Reduce the fraction $\frac{6}{4}$ to lowest terms by extracting and canceling out $2$.

$$sort(\frac{3}{2},1\times 6,\frac{1}{8}\times 3,\frac{15}{16}\times 4,\frac{15}{6}\times 4)$$

Multiply $1$ and $6$ to get $6$.

$$sort(\frac{3}{2},6,\frac{1}{8}\times 3,\frac{15}{16}\times 4,\frac{15}{6}\times 4)$$

Multiply $\frac{1}{8}$ and $3$ to get $\frac{3}{8}$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{16}\times 4,\frac{15}{6}\times 4)$$

Express $\frac{15}{16}\times 4$ as a single fraction.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15\times 4}{16},\frac{15}{6}\times 4)$$

Multiply $15$ and $4$ to get $60$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{60}{16},\frac{15}{6}\times 4)$$

Reduce the fraction $\frac{60}{16}$ to lowest terms by extracting and canceling out $4$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{4},\frac{15}{6}\times 4)$$

Reduce the fraction $\frac{15}{6}$ to lowest terms by extracting and canceling out $3$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{4},\frac{5}{2}\times 4)$$

Express $\frac{5}{2}\times 4$ as a single fraction.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{4},\frac{5\times 4}{2})$$

Multiply $5$ and $4$ to get $20$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{4},\frac{20}{2})$$

Divide $20$ by $2$ to get $10$.

$$sort(\frac{3}{2},6,\frac{3}{8},\frac{15}{4},10)$$

Convert decimal numbers in the list $\frac{3}{2},6,\frac{3}{8},\frac{15}{4},10$ to fractions.

$$\frac{3}{2},6,\frac{3}{8},\frac{15}{4},10$$

Least common denominator of the numbers in the list $\frac{3}{2},6,\frac{3}{8},\frac{15}{4},10$ is $8$. Convert numbers in the list to fractions with denominator $8$.

$$\frac{12}{8},\frac{48}{8},\frac{3}{8},\frac{30}{8},\frac{80}{8}$$

To sort the list, start from a single element $\frac{12}{8}$.

$$\frac{12}{8}$$

Insert $\frac{48}{8}$ to the appropriate location in the new list.

$$\frac{12}{8},\frac{48}{8}$$

Insert $\frac{3}{8}$ to the appropriate location in the new list.

$$\frac{3}{8},\frac{12}{8},\frac{48}{8}$$

Insert $\frac{30}{8}$ to the appropriate location in the new list.

$$\frac{3}{8},\frac{12}{8},\frac{30}{8},\frac{48}{8}$$

Insert $\frac{80}{8}$ to the appropriate location in the new list.

$$\frac{3}{8},\frac{12}{8},\frac{30}{8},\frac{48}{8},\frac{80}{8}$$

Replace the obtained fractions with the initial values.

$$\frac{3}{8},\frac{3}{2},\frac{15}{4},6,10$$

Evaluate

$\frac{3}{2},\ 6,\ \frac{3}{8},\ \frac{15}{4},\ 10$