How to solve ) 1 3/5 + 4 2/7

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 ) 1 3/5 + 4 2/7 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\quad 1 \frac { 3 } { 5 } + 4 \frac { 2 } { 7 }$$

Evaluate

$\frac{206}{35}\approx 5.885714286$

Solution Steps

Multiply $1$ and $5$ to get $5$.

$$\frac{5+3}{5}+\frac{4\times 7+2}{7}$$

Add $5$ and $3$ to get $8$.

$$\frac{8}{5}+\frac{4\times 7+2}{7}$$

Multiply $4$ and $7$ to get $28$.

$$\frac{8}{5}+\frac{28+2}{7}$$

Add $28$ and $2$ to get $30$.

$$\frac{8}{5}+\frac{30}{7}$$

Least common multiple of $5$ and $7$ is $35$. Convert $\frac{8}{5}$ and $\frac{30}{7}$ to fractions with denominator $35$.

$$\frac{56}{35}+\frac{150}{35}$$

Since $\frac{56}{35}$ and $\frac{150}{35}$ have the same denominator, add them by adding their numerators.

$$\frac{56+150}{35}$$

Add $56$ and $150$ to get $206$.

$$\frac{206}{35}$$

Show Solution

Factor

$\frac{2 \cdot 103}{5 \cdot 7} = 5\frac{31}{35} = 5.885714285714286$