How to solve 0.5+1/4+3/7

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 0.5+1/4+3/7 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$0.5+1/4+3/7$$

Evaluate

$\frac{33}{28}\approx 1.178571429$

Solution Steps

Convert decimal number $0.5$ to fraction $\frac{5}{10}$. Reduce the fraction $\frac{5}{10}$ to lowest terms by extracting and canceling out $5$.

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

Least common multiple of $2$ and $4$ is $4$. Convert $\frac{1}{2}$ and $\frac{1}{4}$ to fractions with denominator $4$.

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

Since $\frac{2}{4}$ and $\frac{1}{4}$ have the same denominator, add them by adding their numerators.

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

Add $2$ and $1$ to get $3$.

$$\frac{3}{4}+\frac{3}{7}$$

Least common multiple of $4$ and $7$ is $28$. Convert $\frac{3}{4}$ and $\frac{3}{7}$ to fractions with denominator $28$.

$$\frac{21}{28}+\frac{12}{28}$$

Since $\frac{21}{28}$ and $\frac{12}{28}$ have the same denominator, add them by adding their numerators.

$$\frac{21+12}{28}$$

Add $21$ and $12$ to get $33$.

$$\frac{33}{28}$$

Show Solution

Factor

$\frac{3 \cdot 11}{7 \cdot 2 ^ {2}} = 1\frac{5}{28} = 1.1785714285714286$