How to solve 6 2/7 + 3/8 + 2/2

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 6 2/7 + 3/8 + 2/2 | Equatix

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Question

$$6\frac{2}{7}+\frac{3}{8}+\frac{2}{2}$$

Evaluate

$\frac{429}{56}\approx 7.660714286$

Solution Steps

Divide $2$ by $2$ to get $1$.

$$\frac{6\times 7+2}{7}+\frac{3}{8}+1$$

Multiply $6$ and $7$ to get $42$.

$$\frac{42+2}{7}+\frac{3}{8}+1$$

Add $42$ and $2$ to get $44$.

$$\frac{44}{7}+\frac{3}{8}+1$$

Least common multiple of $7$ and $8$ is $56$. Convert $\frac{44}{7}$ and $\frac{3}{8}$ to fractions with denominator $56$.

$$\frac{352}{56}+\frac{21}{56}+1$$

Since $\frac{352}{56}$ and $\frac{21}{56}$ have the same denominator, add them by adding their numerators.

$$\frac{352+21}{56}+1$$

Add $352$ and $21$ to get $373$.

$$\frac{373}{56}+1$$

Convert $1$ to fraction $\frac{56}{56}$.

$$\frac{373}{56}+\frac{56}{56}$$

Since $\frac{373}{56}$ and $\frac{56}{56}$ have the same denominator, add them by adding their numerators.

$$\frac{373+56}{56}$$

Add $373$ and $56$ to get $429$.

$$\frac{429}{56}$$

Show Solution

Factor

$\frac{3 \cdot 11 \cdot 13}{2 ^ {3} \cdot 7} = 7\frac{37}{56} = 7.660714285714286$