How to solve 9/4 + 1 1/3 + 3/8

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 9/4 + 1 1/3 + 3/8 | Equatix

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Question

$$\frac{9}{4}+1\frac{1}{3}+\frac{3}{8}$$

Evaluate

$\frac{95}{24}\approx 3.958333333$

Solution Steps

Multiply $1$ and $3$ to get $3$.

$$\frac{9}{4}+\frac{3+1}{3}+\frac{3}{8}$$

Add $3$ and $1$ to get $4$.

$$\frac{9}{4}+\frac{4}{3}+\frac{3}{8}$$

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{9}{4}$ and $\frac{4}{3}$ to fractions with denominator $12$.

$$\frac{27}{12}+\frac{16}{12}+\frac{3}{8}$$

Since $\frac{27}{12}$ and $\frac{16}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{27+16}{12}+\frac{3}{8}$$

Add $27$ and $16$ to get $43$.

$$\frac{43}{12}+\frac{3}{8}$$

Least common multiple of $12$ and $8$ is $24$. Convert $\frac{43}{12}$ and $\frac{3}{8}$ to fractions with denominator $24$.

$$\frac{86}{24}+\frac{9}{24}$$

Since $\frac{86}{24}$ and $\frac{9}{24}$ have the same denominator, add them by adding their numerators.

$$\frac{86+9}{24}$$

Add $86$ and $9$ to get $95$.

$$\frac{95}{24}$$

Show Solution

Factor

$\frac{5 \cdot 19}{2 ^ {3} \cdot 3} = 3\frac{23}{24} = 3.9583333333333335$