Solve - 8/15 - 2/90 + 5/9 | 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

$$-\frac{8}{15}-\frac{2}{90}+\frac{5}{9}$$

Evaluate

$0$

Solution Steps

Reduce the fraction $\frac{2}{90}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{8}{15}-\frac{1}{45}+\frac{5}{9}$$

Least common multiple of $15$ and $45$ is $45$. Convert $-\frac{8}{15}$ and $\frac{1}{45}$ to fractions with denominator $45$.

$$-\frac{24}{45}-\frac{1}{45}+\frac{5}{9}$$

Since $-\frac{24}{45}$ and $\frac{1}{45}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-24-1}{45}+\frac{5}{9}$$

Subtract $1$ from $-24$ to get $-25$.

$$\frac{-25}{45}+\frac{5}{9}$$

Reduce the fraction $\frac{-25}{45}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{5}{9}+\frac{5}{9}$$

Add $-\frac{5}{9}$ and $\frac{5}{9}$ to get $0$.

$$0$$

Factor

$0$