Solve 3/5 + (- 4/5) + (- 3/4) | 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

$$\frac{3}{5}+(\frac{-4}{5})+(\frac{-3}{4})$$

Evaluate

$-\frac{19}{20}=-0.95$

Solution Steps

Fraction $\frac{-4}{5}$ can be rewritten as $-\frac{4}{5}$ by extracting the negative sign.

$$\frac{3}{5}-\frac{4}{5}+\frac{-3}{4}$$

Since $\frac{3}{5}$ and $\frac{4}{5}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{5}+\frac{-3}{4}$$

Subtract $4$ from $3$ to get $-1$.

$$-\frac{1}{5}+\frac{-3}{4}$$

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

$$-\frac{1}{5}-\frac{3}{4}$$

Least common multiple of $5$ and $4$ is $20$. Convert $-\frac{1}{5}$ and $\frac{3}{4}$ to fractions with denominator $20$.

$$-\frac{4}{20}-\frac{15}{20}$$

Since $-\frac{4}{20}$ and $\frac{15}{20}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-15}{20}$$

Subtract $15$ from $-4$ to get $-19$.

$$-\frac{19}{20}$$

Factor

$-\frac{19}{20} = -0.95$