Solve (m - n)/4 + (m - n)/7 | 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

$$\frac{m-n}{4}+\frac{m-n}{7}$$

Evaluate

$\frac{11\left(m-n\right)}{28}$

Solution Steps

Combine $\frac{m-n}{4}$ and $\frac{m-n}{7}$ to get $\frac{11}{28}\left(m-n\right)$.

$$\frac{11}{28}\left(m-n\right)$$

Use the distributive property to multiply $\frac{11}{28}$ by $m-n$.

$$\frac{11}{28}m+\frac{11}{28}\left(-1\right)n$$

Multiply $\frac{11}{28}$ and $-1$ to get $-\frac{11}{28}$.

$$\frac{11}{28}m-\frac{11}{28}n$$

Expand

$\frac{11m-11n}{28}$

Solution Steps

Combine $\frac{m-n}{4}$ and $\frac{m-n}{7}$ to get $\frac{11}{28}\left(m-n\right)$.

$$\frac{11}{28}\left(m-n\right)$$

Use the distributive property to multiply $\frac{11}{28}$ by $m-n$.

$$\frac{11}{28}m+\frac{11}{28}\left(-1\right)n$$

Multiply $\frac{11}{28}$ and $-1$ to get $-\frac{11}{28}$.

$$\frac{11}{28}m-\frac{11}{28}n$$