Solve 2x - 24/35 + 53/11 | 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

$$2x-\frac{24}{35}+\frac{53}{11}$$

Evaluate

$2x+\frac{1591}{385}$

Solution Steps

Least common multiple of $35$ and $11$ is $385$. Convert $-\frac{24}{35}$ and $\frac{53}{11}$ to fractions with denominator $385$.

$$2x-\frac{264}{385}+\frac{1855}{385}$$

Since $-\frac{264}{385}$ and $\frac{1855}{385}$ have the same denominator, add them by adding their numerators.

$$2x+\frac{-264+1855}{385}$$

Add $-264$ and $1855$ to get $1591$.

$$2x+\frac{1591}{385}$$

Factor

$\frac{770x+1591}{385}$

Solution Steps

Factor out $\frac{1}{385}$.

$$\frac{770x+1591}{385}$$

Consider $770x-264+1855$. Multiply and combine like terms.

$$770x+1591$$

Rewrite the complete factored expression.

$$\frac{770x+1591}{385}$$