Solve 8 Si Simplify 18 2/3 - 15 5/6 + 4 1/8 99 33 | 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

$$\left. \begin{array} { l } { 8 \frac { 2 } { 3 } - 15 \frac { 5 } { 6 } + 4 \frac { 1 } { 8 } } \\ { 56 - 95 + 33 } \end{array} \right.$$

Sort

$-6,-\frac{73}{24}$

Solution Steps

Multiply $8$ and $3$ to get $24$.

$$sort(\frac{24+2}{3}-\frac{15\times 6+5}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Add $24$ and $2$ to get $26$.

$$sort(\frac{26}{3}-\frac{15\times 6+5}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Multiply $15$ and $6$ to get $90$.

$$sort(\frac{26}{3}-\frac{90+5}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Add $90$ and $5$ to get $95$.

$$sort(\frac{26}{3}-\frac{95}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Least common multiple of $3$ and $6$ is $6$. Convert $\frac{26}{3}$ and $\frac{95}{6}$ to fractions with denominator $6$.

$$sort(\frac{52}{6}-\frac{95}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Since $\frac{52}{6}$ and $\frac{95}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{52-95}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Subtract $95$ from $52$ to get $-43$.

$$sort(-\frac{43}{6}+\frac{4\times 8+1}{8},56-95+33)$$

Multiply $4$ and $8$ to get $32$.

$$sort(-\frac{43}{6}+\frac{32+1}{8},56-95+33)$$

Add $32$ and $1$ to get $33$.

$$sort(-\frac{43}{6}+\frac{33}{8},56-95+33)$$

Least common multiple of $6$ and $8$ is $24$. Convert $-\frac{43}{6}$ and $\frac{33}{8}$ to fractions with denominator $24$.

$$sort(-\frac{172}{24}+\frac{99}{24},56-95+33)$$

Since $-\frac{172}{24}$ and $\frac{99}{24}$ have the same denominator, add them by adding their numerators.

$$sort(\frac{-172+99}{24},56-95+33)$$

Add $-172$ and $99$ to get $-73$.

$$sort(-\frac{73}{24},56-95+33)$$

Subtract $95$ from $56$ to get $-39$.

$$sort(-\frac{73}{24},-39+33)$$

Add $-39$ and $33$ to get $-6$.

$$sort(-\frac{73}{24},-6)$$

Convert decimal numbers in the list $-\frac{73}{24},-6$ to fractions.

$$-\frac{73}{24},-6$$

To sort the list, start from a single element $-\frac{73}{24}$.

$$-\frac{73}{24}$$

Insert $-6$ to the appropriate location in the new list.

$$-6,-\frac{73}{24}$$

Evaluate

$-\frac{73}{24},\ -6$