Solve 28 8/15 < 2/3; 8/15 < 4/5 | 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

$$\frac { 8 } { 15 } \lt \frac { 2 } { 3 } , \frac { 8 } { 15 } \lt \frac { 4 } { 5 }$$

Verify

$\text{true}$

Solution Steps

Least common multiple of $15$ and $3$ is $15$. Convert $\frac{8}{15}$ and $\frac{2}{3}$ to fractions with denominator $15$.

$$\frac{8}{15}<\frac{10}{15}\text{ and }\frac{8}{15}<\frac{4}{5}$$

Compare $\frac{8}{15}$ and $\frac{10}{15}$.

$$\text{true}\text{ and }\frac{8}{15}<\frac{4}{5}$$

Least common multiple of $15$ and $5$ is $15$. Convert $\frac{8}{15}$ and $\frac{4}{5}$ to fractions with denominator $15$.

$$\text{true}\text{ and }\frac{8}{15}<\frac{12}{15}$$

Compare $\frac{8}{15}$ and $\frac{12}{15}$.

$$\text{true}\text{ and }\text{true}$$

The conjunction of $\text{true}$ and $\text{true}$ is $\text{true}$.

$$\text{true}$$