Solve n - 5/3 and - 8/7 ? | 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

$$n - 5 / 3 - 8 / 7 ?$$

Evaluate

$n = -\frac{59}{21} = -2\frac{17}{21} = -2.8095238095238093$

Solution Steps

Least common multiple of $3$ and $7$ is $21$. Convert $-\frac{5}{3}$ and $\frac{8}{7}$ to fractions with denominator $21$.

$$n-\frac{35}{21}-\frac{24}{21}$$

Since $-\frac{35}{21}$ and $\frac{24}{21}$ have the same denominator, subtract them by subtracting their numerators.

$$n+\frac{-35-24}{21}$$

Subtract $24$ from $-35$ to get $-59$.

$$n-\frac{59}{21}$$

Factor

$\frac{21n-59}{21}$

Solution Steps

Factor out $\frac{1}{21}$.

$$\frac{21n-59}{21}$$

Consider $21n-35-24$. Multiply and combine like terms.

$$21n-59$$

Rewrite the complete factored expression.

$$\frac{21n-59}{21}$$