How to solve 9(6/13)-4(4/26)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 9(6/13)-4(4/26) | Equatix

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Question

$$9(6/13)-4(4/26)$$

Evaluate

$\frac{46}{13}\approx 3.538461538$

Solution Steps

Express $9\times \frac{6}{13}$ as a single fraction.

$$\frac{9\times 6}{13}-4\times \frac{4}{26}$$

Multiply $9$ and $6$ to get $54$.

$$\frac{54}{13}-4\times \frac{4}{26}$$

Reduce the fraction $\frac{4}{26}$ to lowest terms by extracting and canceling out $2$.

$$\frac{54}{13}-4\times \frac{2}{13}$$

Express $4\times \frac{2}{13}$ as a single fraction.

$$\frac{54}{13}-\frac{4\times 2}{13}$$

Multiply $4$ and $2$ to get $8$.

$$\frac{54}{13}-\frac{8}{13}$$

Since $\frac{54}{13}$ and $\frac{8}{13}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-8}{13}$$

Subtract $8$ from $54$ to get $46$.

$$\frac{46}{13}$$

Show Solution

Factor

$\frac{2 \cdot 23}{13} = 3\frac{7}{13} = 3.5384615384615383$