How to solve 3/7 + 6/5 - 2/3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3/7 + 6/5 - 2/3 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$\frac{3}{7}+\frac{6}{5}-\frac{2}{3}$$

$\frac{101}{105}\approx 0.961904762$

Least common multiple of $7$ and $5$ is $35$. Convert $\frac{3}{7}$ and $\frac{6}{5}$ to fractions with denominator $35$.

$$\frac{15}{35}+\frac{42}{35}-\frac{2}{3}$$

Since $\frac{15}{35}$ and $\frac{42}{35}$ have the same denominator, add them by adding their numerators.

$$\frac{15+42}{35}-\frac{2}{3}$$

Add $15$ and $42$ to get $57$.

$$\frac{57}{35}-\frac{2}{3}$$

Least common multiple of $35$ and $3$ is $105$. Convert $\frac{57}{35}$ and $\frac{2}{3}$ to fractions with denominator $105$.

$$\frac{171}{105}-\frac{70}{105}$$

Since $\frac{171}{105}$ and $\frac{70}{105}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{171-70}{105}$$

Subtract $70$ from $171$ to get $101$.

$$\frac{101}{105}$$

$\frac{101}{3 \cdot 5 \cdot 7} = 0.9619047619047619$