Solve ) - 7/4 + 5/3 = 5/3 + (- 7/4) | 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

$$- 7 / 4 + 5 / 3 = 5 / 3 + ( - 7 / 4 )$$

Verify

$\text{true}$

Solution Steps

Least common multiple of $4$ and $3$ is $12$. Convert $-\frac{7}{4}$ and $\frac{5}{3}$ to fractions with denominator $12$.

$$-\frac{21}{12}+\frac{20}{12}=\frac{5}{3}-\frac{7}{4}$$

Since $-\frac{21}{12}$ and $\frac{20}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{-21+20}{12}=\frac{5}{3}-\frac{7}{4}$$

Add $-21$ and $20$ to get $-1$.

$$-\frac{1}{12}=\frac{5}{3}-\frac{7}{4}$$

Least common multiple of $3$ and $4$ is $12$. Convert $\frac{5}{3}$ and $\frac{7}{4}$ to fractions with denominator $12$.

$$-\frac{1}{12}=\frac{20}{12}-\frac{21}{12}$$

Since $\frac{20}{12}$ and $\frac{21}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{12}=\frac{20-21}{12}$$

Subtract $21$ from $20$ to get $-1$.

$$-\frac{1}{12}=-\frac{1}{12}$$

Compare $-\frac{1}{12}$ and $-\frac{1}{12}$.

$$\text{true}$$