Solve (-225)/(219)-(-129)/(292) | 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

$$\frac{ -225 }{ 219 } - \frac{ -129 }{ 292 }$$

Evaluate

$-\frac{171}{292}\approx -0.585616438$

Solution Steps

Reduce the fraction $\frac{-225}{219}$ to lowest terms by extracting and canceling out $3$.

$$-\frac{75}{73}-\frac{-129}{292}$$

Fraction $\frac{-129}{292}$ can be rewritten as $-\frac{129}{292}$ by extracting the negative sign.

$$-\frac{75}{73}-\left(-\frac{129}{292}\right)$$

The opposite of $-\frac{129}{292}$ is $\frac{129}{292}$.

$$-\frac{75}{73}+\frac{129}{292}$$

Least common multiple of $73$ and $292$ is $292$. Convert $-\frac{75}{73}$ and $\frac{129}{292}$ to fractions with denominator $292$.

$$-\frac{300}{292}+\frac{129}{292}$$

Since $-\frac{300}{292}$ and $\frac{129}{292}$ have the same denominator, add them by adding their numerators.

$$\frac{-300+129}{292}$$

Add $-300$ and $129$ to get $-171$.

$$-\frac{171}{292}$$

Factor

$-\frac{171}{292} = -0.5856164383561644$