How to solve 35 (2 5/10) / 3

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 35 (2 5/10) / 3 | Equatix

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Question

$$2 \frac { 5 } { 10 } \div 3 \frac { 5 } { 8 }$$

Evaluate

$\frac{20}{29}\approx 0.689655172$

Solution Steps

Divide $\frac{2\times 10+5}{10}$ by $\frac{3\times 8+5}{8}$ by multiplying $\frac{2\times 10+5}{10}$ by the reciprocal of $\frac{3\times 8+5}{8}$.

$$\frac{\left(2\times 10+5\right)\times 8}{10\left(3\times 8+5\right)}$$

Cancel out $2$ in both numerator and denominator.

$$\frac{4\left(5+2\times 10\right)}{5\left(5+3\times 8\right)}$$

Multiply $2$ and $10$ to get $20$.

$$\frac{4\left(5+20\right)}{5\left(5+3\times 8\right)}$$

Add $5$ and $20$ to get $25$.

$$\frac{4\times 25}{5\left(5+3\times 8\right)}$$

Multiply $4$ and $25$ to get $100$.

$$\frac{100}{5\left(5+3\times 8\right)}$$

Multiply $3$ and $8$ to get $24$.

$$\frac{100}{5\left(5+24\right)}$$

Add $5$ and $24$ to get $29$.

$$\frac{100}{5\times 29}$$

Multiply $5$ and $29$ to get $145$.

$$\frac{100}{145}$$

Reduce the fraction $\frac{100}{145}$ to lowest terms by extracting and canceling out $5$.

$$\frac{20}{29}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5}{29} = 0.6896551724137931$