Solve 36 + (- (- 8.67)) / (- 0.3) + 0.82 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$0.36-(-8.67)\div(-0.3)+0.82$$

Evaluate

$-27.72$

Solution Steps

Expand $\frac{-8.67}{-0.3}$ by multiplying both numerator and the denominator by $100$.

$$0.36-\frac{-867}{-30}+0.82$$

Reduce the fraction $\frac{-867}{-30}$ to lowest terms by extracting and canceling out $-3$.

$$0.36-\frac{289}{10}+0.82$$

Convert decimal number $0.36$ to fraction $\frac{36}{100}$. Reduce the fraction $\frac{36}{100}$ to lowest terms by extracting and canceling out $4$.

$$\frac{9}{25}-\frac{289}{10}+0.82$$

Least common multiple of $25$ and $10$ is $50$. Convert $\frac{9}{25}$ and $\frac{289}{10}$ to fractions with denominator $50$.

$$\frac{18}{50}-\frac{1445}{50}+0.82$$

Since $\frac{18}{50}$ and $\frac{1445}{50}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-1445}{50}+0.82$$

Subtract $1445$ from $18$ to get $-1427$.

$$-\frac{1427}{50}+0.82$$

Convert decimal number $0.82$ to fraction $\frac{82}{100}$. Reduce the fraction $\frac{82}{100}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{1427}{50}+\frac{41}{50}$$

Since $-\frac{1427}{50}$ and $\frac{41}{50}$ have the same denominator, add them by adding their numerators.

$$\frac{-1427+41}{50}$$

Add $-1427$ and $41$ to get $-1386$.

$$\frac{-1386}{50}$$

Reduce the fraction $\frac{-1386}{50}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{693}{25}$$

Factor

$-27.72$