Solve 3/4 + 2/5 = 2/5 + 3/4 | 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

$$\frac{3}{4}+\frac{2}{5}=\frac{2}{5}+\frac{3}{4}$$

Verify

$\text{true}$

Solution Steps

Least common multiple of $4$ and $5$ is $20$. Convert $\frac{3}{4}$ and $\frac{2}{5}$ to fractions with denominator $20$.

$$\frac{15}{20}+\frac{8}{20}=\frac{2}{5}+\frac{3}{4}$$

Since $\frac{15}{20}$ and $\frac{8}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{15+8}{20}=\frac{2}{5}+\frac{3}{4}$$

Add $15$ and $8$ to get $23$.

$$\frac{23}{20}=\frac{2}{5}+\frac{3}{4}$$

Least common multiple of $5$ and $4$ is $20$. Convert $\frac{2}{5}$ and $\frac{3}{4}$ to fractions with denominator $20$.

$$\frac{23}{20}=\frac{8}{20}+\frac{15}{20}$$

Since $\frac{8}{20}$ and $\frac{15}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{23}{20}=\frac{8+15}{20}$$

Add $8$ and $15$ to get $23$.

$$\frac{23}{20}=\frac{23}{20}$$

Compare $\frac{23}{20}$ and $\frac{23}{20}$.

$$\text{true}$$