How to solve 3/22 + 5/2 + 8/23

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 3/22 + 5/2 + 8/23 | Equatix

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Question

$$\frac{3}{22}+\frac{5}{2}+\frac{8}{23}$$

Evaluate

$\frac{755}{253}\approx 2.984189723$

Solution Steps

Least common multiple of $22$ and $2$ is $22$. Convert $\frac{3}{22}$ and $\frac{5}{2}$ to fractions with denominator $22$.

$$\frac{3}{22}+\frac{55}{22}+\frac{8}{23}$$

Since $\frac{3}{22}$ and $\frac{55}{22}$ have the same denominator, add them by adding their numerators.

$$\frac{3+55}{22}+\frac{8}{23}$$

Add $3$ and $55$ to get $58$.

$$\frac{58}{22}+\frac{8}{23}$$

Reduce the fraction $\frac{58}{22}$ to lowest terms by extracting and canceling out $2$.

$$\frac{29}{11}+\frac{8}{23}$$

Least common multiple of $11$ and $23$ is $253$. Convert $\frac{29}{11}$ and $\frac{8}{23}$ to fractions with denominator $253$.

$$\frac{667}{253}+\frac{88}{253}$$

Since $\frac{667}{253}$ and $\frac{88}{253}$ have the same denominator, add them by adding their numerators.

$$\frac{667+88}{253}$$

Add $667$ and $88$ to get $755$.

$$\frac{755}{253}$$

Show Solution

Factor

$\frac{5 \cdot 151}{11 \cdot 23} = 2\frac{249}{253} = 2.984189723320158$