Solve ) - 7/10 + (- 1/2) + 3.2 | 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

$$- \frac { 7 } { 10 } + ( - \frac { 1 } { 2 } ) + 3.2$$

Evaluate

$2$

Solution Steps

Least common multiple of $10$ and $2$ is $10$. Convert $-\frac{7}{10}$ and $\frac{1}{2}$ to fractions with denominator $10$.

$$-\frac{7}{10}-\frac{5}{10}+3.2$$

Since $-\frac{7}{10}$ and $\frac{5}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-5}{10}+3.2$$

Subtract $5$ from $-7$ to get $-12$.

$$\frac{-12}{10}+3.2$$

Reduce the fraction $\frac{-12}{10}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{6}{5}+3.2$$

Convert decimal number $3.2$ to fraction $\frac{32}{10}$. Reduce the fraction $\frac{32}{10}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{6}{5}+\frac{16}{5}$$

Since $-\frac{6}{5}$ and $\frac{16}{5}$ have the same denominator, add them by adding their numerators.

$$\frac{-6+16}{5}$$

Add $-6$ and $16$ to get $10$.

$$\frac{10}{5}$$

Divide $10$ by $5$ to get $2$.

$$2$$

Factor

$2$