Solve 3/8 + (- 5)/7 = - 19/56 | Equatix - Math Solver

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{3}{8}+\frac{(-5)}{7}=\frac{-19}{56}$$

Verify

$\text{true}$

Solution Steps

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

$$\frac{3}{8}-\frac{5}{7}=\frac{-19}{56}$$

Least common multiple of $8$ and $7$ is $56$. Convert $\frac{3}{8}$ and $\frac{5}{7}$ to fractions with denominator $56$.

$$\frac{21}{56}-\frac{40}{56}=\frac{-19}{56}$$

Since $\frac{21}{56}$ and $\frac{40}{56}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-40}{56}=\frac{-19}{56}$$

Subtract $40$ from $21$ to get $-19$.

$$-\frac{19}{56}=\frac{-19}{56}$$

Fraction $\frac{-19}{56}$ can be rewritten as $-\frac{19}{56}$ by extracting the negative sign.

$$-\frac{19}{56}=-\frac{19}{56}$$

Compare $-\frac{19}{56}$ and $-\frac{19}{56}$.

$$\text{true}$$