Solve (3a-b)/(2)+(3a-b)/(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

$$\frac{ 3a-b }{ 2 } + \frac{ 3a-b }{ 5 }$$

Evaluate

$\frac{21a-7b}{10}$

Solution Steps

Combine $\frac{3a-b}{2}$ and $\frac{3a-b}{5}$ to get $\frac{7}{10}\left(3a-b\right)$.

$$\frac{7}{10}\left(3a-b\right)$$

Use the distributive property to multiply $\frac{7}{10}$ by $3a-b$.

$$\frac{7}{10}\times 3a+\frac{7}{10}\left(-1\right)b$$

Express $\frac{7}{10}\times 3$ as a single fraction.

$$\frac{7\times 3}{10}a+\frac{7}{10}\left(-1\right)b$$

Multiply $7$ and $3$ to get $21$.

$$\frac{21}{10}a+\frac{7}{10}\left(-1\right)b$$

Multiply $\frac{7}{10}$ and $-1$ to get $-\frac{7}{10}$.

$$\frac{21}{10}a-\frac{7}{10}b$$

Expand

$\frac{21a-7b}{10}$

Solution Steps

Combine $\frac{3a-b}{2}$ and $\frac{3a-b}{5}$ to get $\frac{7}{10}\left(3a-b\right)$.

$$\frac{7}{10}\left(3a-b\right)$$

Use the distributive property to multiply $\frac{7}{10}$ by $3a-b$.

$$\frac{7}{10}\times 3a+\frac{7}{10}\left(-1\right)b$$

Express $\frac{7}{10}\times 3$ as a single fraction.

$$\frac{7\times 3}{10}a+\frac{7}{10}\left(-1\right)b$$

Multiply $7$ and $3$ to get $21$.

$$\frac{21}{10}a+\frac{7}{10}\left(-1\right)b$$

Multiply $\frac{7}{10}$ and $-1$ to get $-\frac{7}{10}$.

$$\frac{21}{10}a-\frac{7}{10}b$$