Solve ((-8))/(15)+((-4))/(3) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ (-8) }{ 15 } + \frac{ (-4) }{ 3 }$$

Evaluate

$-\frac{28}{15}\approx -1.866666667$

Solution Steps

Fraction $\frac{-8}{15}$ can be rewritten as $-\frac{8}{15}$ by extracting the negative sign.

$$-\frac{8}{15}+\frac{-4}{3}$$

Fraction $\frac{-4}{3}$ can be rewritten as $-\frac{4}{3}$ by extracting the negative sign.

$$-\frac{8}{15}-\frac{4}{3}$$

Least common multiple of $15$ and $3$ is $15$. Convert $-\frac{8}{15}$ and $\frac{4}{3}$ to fractions with denominator $15$.

$$-\frac{8}{15}-\frac{20}{15}$$

Since $-\frac{8}{15}$ and $\frac{20}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-20}{15}$$

Subtract $20$ from $-8$ to get $-28$.

$$-\frac{28}{15}$$

Factor

$-\frac{28}{15} = -1\frac{13}{15} = -1.8666666666666667$