Solve 3/7 - 4/9 - 1 * (- 11/7) - 7/9 | 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

$$\frac{3}{7}+\frac{-4}{9}-\frac{-11}{7}-\frac{7}{9}$$

Evaluate

$\frac{7}{9}\approx 0.777777778$

Solution Steps

Fraction $\frac{-4}{9}$ can be rewritten as $-\frac{4}{9}$ by extracting the negative sign.

$$\frac{3}{7}-\frac{4}{9}-\frac{-11}{7}-\frac{7}{9}$$

Least common multiple of $7$ and $9$ is $63$. Convert $\frac{3}{7}$ and $\frac{4}{9}$ to fractions with denominator $63$.

$$\frac{27}{63}-\frac{28}{63}-\frac{-11}{7}-\frac{7}{9}$$

Since $\frac{27}{63}$ and $\frac{28}{63}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-28}{63}-\frac{-11}{7}-\frac{7}{9}$$

Subtract $28$ from $27$ to get $-1$.

$$-\frac{1}{63}-\frac{-11}{7}-\frac{7}{9}$$

Fraction $\frac{-11}{7}$ can be rewritten as $-\frac{11}{7}$ by extracting the negative sign.

$$-\frac{1}{63}-\left(-\frac{11}{7}\right)-\frac{7}{9}$$

The opposite of $-\frac{11}{7}$ is $\frac{11}{7}$.

$$-\frac{1}{63}+\frac{11}{7}-\frac{7}{9}$$

Least common multiple of $63$ and $7$ is $63$. Convert $-\frac{1}{63}$ and $\frac{11}{7}$ to fractions with denominator $63$.

$$-\frac{1}{63}+\frac{99}{63}-\frac{7}{9}$$

Since $-\frac{1}{63}$ and $\frac{99}{63}$ have the same denominator, add them by adding their numerators.

$$\frac{-1+99}{63}-\frac{7}{9}$$

Add $-1$ and $99$ to get $98$.

$$\frac{98}{63}-\frac{7}{9}$$

Reduce the fraction $\frac{98}{63}$ to lowest terms by extracting and canceling out $7$.

$$\frac{14}{9}-\frac{7}{9}$$

Since $\frac{14}{9}$ and $\frac{7}{9}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-7}{9}$$

Subtract $7$ from $14$ to get $7$.

$$\frac{7}{9}$$

Factor

$\frac{7}{3 ^ {2}} = 0.7777777777777778$