Solve (i) (- 3/10) - (- 4/15) ( ii) | 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

$$( - \frac { 3 } { 10 } ) - ( - \frac { 4 } { 15 } )$$

Evaluate

$-\frac{1}{30}\approx -0.033333333$

Solution Steps

The opposite of $-\frac{4}{15}$ is $\frac{4}{15}$.

$$-\frac{3}{10}+\frac{4}{15}$$

Least common multiple of $10$ and $15$ is $30$. Convert $-\frac{3}{10}$ and $\frac{4}{15}$ to fractions with denominator $30$.

$$-\frac{9}{30}+\frac{8}{30}$$

Since $-\frac{9}{30}$ and $\frac{8}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{-9+8}{30}$$

Add $-9$ and $8$ to get $-1$.

$$-\frac{1}{30}$$

Factor

$-\frac{1}{30} = -0.03333333333333333$