Solve 6/7 + 2/3 - 1 * (- 3/7) - 1 * (- 4/3) | 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

$$\frac{6}{7}+\frac{2}{3}-\frac{-3}{7}-\frac{-4}{3}$$

Evaluate

$\frac{23}{7}\approx 3.285714286$

Solution Steps

Least common multiple of $7$ and $3$ is $21$. Convert $\frac{6}{7}$ and $\frac{2}{3}$ to fractions with denominator $21$.

$$\frac{18}{21}+\frac{14}{21}-\frac{-3}{7}-\frac{-4}{3}$$

Since $\frac{18}{21}$ and $\frac{14}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{18+14}{21}-\frac{-3}{7}-\frac{-4}{3}$$

Add $18$ and $14$ to get $32$.

$$\frac{32}{21}-\frac{-3}{7}-\frac{-4}{3}$$

Fraction $\frac{-3}{7}$ can be rewritten as $-\frac{3}{7}$ by extracting the negative sign.

$$\frac{32}{21}-\left(-\frac{3}{7}\right)-\frac{-4}{3}$$

The opposite of $-\frac{3}{7}$ is $\frac{3}{7}$.

$$\frac{32}{21}+\frac{3}{7}-\frac{-4}{3}$$

Least common multiple of $21$ and $7$ is $21$. Convert $\frac{32}{21}$ and $\frac{3}{7}$ to fractions with denominator $21$.

$$\frac{32}{21}+\frac{9}{21}-\frac{-4}{3}$$

Since $\frac{32}{21}$ and $\frac{9}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{32+9}{21}-\frac{-4}{3}$$

Add $32$ and $9$ to get $41$.

$$\frac{41}{21}-\frac{-4}{3}$$

Fraction $\frac{-4}{3}$ can be rewritten as $-\frac{4}{3}$ by extracting the negative sign.

$$\frac{41}{21}-\left(-\frac{4}{3}\right)$$

The opposite of $-\frac{4}{3}$ is $\frac{4}{3}$.

$$\frac{41}{21}+\frac{4}{3}$$

Least common multiple of $21$ and $3$ is $21$. Convert $\frac{41}{21}$ and $\frac{4}{3}$ to fractions with denominator $21$.

$$\frac{41}{21}+\frac{28}{21}$$

Since $\frac{41}{21}$ and $\frac{28}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{41+28}{21}$$

Add $41$ and $28$ to get $69$.

$$\frac{69}{21}$$

Reduce the fraction $\frac{69}{21}$ to lowest terms by extracting and canceling out $3$.

$$\frac{23}{7}$$

Factor

$\frac{23}{7} = 3\frac{2}{7} = 3.2857142857142856$