Solve (7)/(5)-(8)/(5)-(5)/(5)+(4)/(5) | 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

$$\frac{ 7 }{ 5 } - \frac{ 8 }{ 5 } - \frac{ 5 }{ 5 } + \frac{ 4 }{ 5 }$$

Evaluate

$-\frac{2}{5}=-0.4$

Solution Steps

Divide $5$ by $5$ to get $1$.

$$\frac{7}{5}-\frac{8}{5}-1+\frac{4}{5}$$

Since $\frac{7}{5}$ and $\frac{8}{5}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-8}{5}-1+\frac{4}{5}$$

Subtract $8$ from $7$ to get $-1$.

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

Convert $1$ to fraction $\frac{5}{5}$.

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

Since $-\frac{1}{5}$ and $\frac{5}{5}$ have the same denominator, subtract them by subtracting their numerators.

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

Subtract $5$ from $-1$ to get $-6$.

$$-\frac{6}{5}+\frac{4}{5}$$

Since $-\frac{6}{5}$ and $\frac{4}{5}$ have the same denominator, add them by adding their numerators.

$$\frac{-6+4}{5}$$

Add $-6$ and $4$ to get $-2$.

$$-\frac{2}{5}$$

Factor

$-\frac{2}{5} = -0.4$