How to solve 2 3/4 - 1 4/6

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 2 3/4 - 1 4/6 | Equatix

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Question

$$2\frac{3}{4}-1\frac{4}{6}$$

Evaluate

$\frac{13}{12}\approx 1.083333333$

Solution Steps

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

$$\frac{8+3}{4}-\frac{1\times 6+4}{6}$$

Add $8$ and $3$ to get $11$.

$$\frac{11}{4}-\frac{1\times 6+4}{6}$$

Multiply $1$ and $6$ to get $6$.

$$\frac{11}{4}-\frac{6+4}{6}$$

Add $6$ and $4$ to get $10$.

$$\frac{11}{4}-\frac{10}{6}$$

Reduce the fraction $\frac{10}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{11}{4}-\frac{5}{3}$$

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{11}{4}$ and $\frac{5}{3}$ to fractions with denominator $12$.

$$\frac{33}{12}-\frac{20}{12}$$

Since $\frac{33}{12}$ and $\frac{20}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-20}{12}$$

Subtract $20$ from $33$ to get $13$.

$$\frac{13}{12}$$

Show Solution

Factor

$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$