Solve -2 P -1 2 12. Multiplyby the reciprocal of ( a) 7/8; - 161/184; - 39/56 ( b) - 23/85; - 3 43/184; - 161/580 21 . (c) ( d) | 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

$$\left. \begin{array} { l } { \frac { 7 } { 8 } \frac { - 23 } { 85 } } \\ { \frac { - 161 } { 184 } } \\ { \frac { - 39 } { 56 } } \end{array} \right.$$

Sort

$-\frac{7}{8},-\frac{39}{56},-\frac{161}{680}$

Solution Steps

Fraction $\frac{-23}{85}$ can be rewritten as $-\frac{23}{85}$ by extracting the negative sign.

$$sort(\frac{7}{8}\left(-\frac{23}{85}\right),\frac{-161}{184},\frac{-39}{56})$$

Multiply $\frac{7}{8}$ times $-\frac{23}{85}$ by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{7\left(-23\right)}{8\times 85},\frac{-161}{184},\frac{-39}{56})$$

Do the multiplications in the fraction $\frac{7\left(-23\right)}{8\times 85}$.

$$sort(\frac{-161}{680},\frac{-161}{184},\frac{-39}{56})$$

Fraction $\frac{-161}{680}$ can be rewritten as $-\frac{161}{680}$ by extracting the negative sign.

$$sort(-\frac{161}{680},\frac{-161}{184},\frac{-39}{56})$$

Reduce the fraction $\frac{-161}{184}$ to lowest terms by extracting and canceling out $23$.

$$sort(-\frac{161}{680},-\frac{7}{8},\frac{-39}{56})$$

Fraction $\frac{-39}{56}$ can be rewritten as $-\frac{39}{56}$ by extracting the negative sign.

$$sort(-\frac{161}{680},-\frac{7}{8},-\frac{39}{56})$$

Least common denominator of the numbers in the list $-\frac{161}{680},-\frac{7}{8},-\frac{39}{56}$ is $4760$. Convert numbers in the list to fractions with denominator $4760$.

$$-\frac{1127}{4760},-\frac{4165}{4760},-\frac{3315}{4760}$$

To sort the list, start from a single element $-\frac{1127}{4760}$.

$$-\frac{1127}{4760}$$

Insert $-\frac{4165}{4760}$ to the appropriate location in the new list.

$$-\frac{4165}{4760},-\frac{1127}{4760}$$

Insert $-\frac{3315}{4760}$ to the appropriate location in the new list.

$$-\frac{4165}{4760},-\frac{3315}{4760},-\frac{1127}{4760}$$

Replace the obtained fractions with the initial values.

$$-\frac{7}{8},-\frac{39}{56},-\frac{161}{680}$$

Evaluate

$-\frac{161}{680},\ -\frac{7}{8},\ -\frac{39}{56}$