Solve - 3/14 - 5/7 - 1 * (- 8/21) + 15/28 | 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

$$\frac{-3}{14}+\frac{-5}{7}-\frac{-8}{21}+\frac{15}{28}$$

Evaluate

$-\frac{1}{84}\approx -0.011904762$

Solution Steps

Fraction $\frac{-3}{14}$ can be rewritten as $-\frac{3}{14}$ by extracting the negative sign.

$$-\frac{3}{14}+\frac{-5}{7}-\frac{-8}{21}+\frac{15}{28}$$

Fraction $\frac{-5}{7}$ can be rewritten as $-\frac{5}{7}$ by extracting the negative sign.

$$-\frac{3}{14}-\frac{5}{7}-\frac{-8}{21}+\frac{15}{28}$$

Least common multiple of $14$ and $7$ is $14$. Convert $-\frac{3}{14}$ and $\frac{5}{7}$ to fractions with denominator $14$.

$$-\frac{3}{14}-\frac{10}{14}-\frac{-8}{21}+\frac{15}{28}$$

Since $-\frac{3}{14}$ and $\frac{10}{14}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-10}{14}-\frac{-8}{21}+\frac{15}{28}$$

Subtract $10$ from $-3$ to get $-13$.

$$-\frac{13}{14}-\frac{-8}{21}+\frac{15}{28}$$

Fraction $\frac{-8}{21}$ can be rewritten as $-\frac{8}{21}$ by extracting the negative sign.

$$-\frac{13}{14}-\left(-\frac{8}{21}\right)+\frac{15}{28}$$

The opposite of $-\frac{8}{21}$ is $\frac{8}{21}$.

$$-\frac{13}{14}+\frac{8}{21}+\frac{15}{28}$$

Least common multiple of $14$ and $21$ is $42$. Convert $-\frac{13}{14}$ and $\frac{8}{21}$ to fractions with denominator $42$.

$$-\frac{39}{42}+\frac{16}{42}+\frac{15}{28}$$

Since $-\frac{39}{42}$ and $\frac{16}{42}$ have the same denominator, add them by adding their numerators.

$$\frac{-39+16}{42}+\frac{15}{28}$$

Add $-39$ and $16$ to get $-23$.

$$-\frac{23}{42}+\frac{15}{28}$$

Least common multiple of $42$ and $28$ is $84$. Convert $-\frac{23}{42}$ and $\frac{15}{28}$ to fractions with denominator $84$.

$$-\frac{46}{84}+\frac{45}{84}$$

Since $-\frac{46}{84}$ and $\frac{45}{84}$ have the same denominator, add them by adding their numerators.

$$\frac{-46+45}{84}$$

Add $-46$ and $45$ to get $-1$.

$$-\frac{1}{84}$$

Factor

$-\frac{1}{84} = -0.011904761904761904$