Solve (31/- 4 - 5/8) = 2 | 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

$$(\frac{31}{-4}+\frac{-5}{8})=2$$

Verify

$\text{false}$

Solution Steps

Fraction $\frac{31}{-4}$ can be rewritten as $-\frac{31}{4}$ by extracting the negative sign.

$$-\frac{31}{4}+\frac{-5}{8}=2$$

Fraction $\frac{-5}{8}$ can be rewritten as $-\frac{5}{8}$ by extracting the negative sign.

$$-\frac{31}{4}-\frac{5}{8}=2$$

Least common multiple of $4$ and $8$ is $8$. Convert $-\frac{31}{4}$ and $\frac{5}{8}$ to fractions with denominator $8$.

$$-\frac{62}{8}-\frac{5}{8}=2$$

Since $-\frac{62}{8}$ and $\frac{5}{8}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-62-5}{8}=2$$

Subtract $5$ from $-62$ to get $-67$.

$$-\frac{67}{8}=2$$

Convert $2$ to fraction $\frac{16}{8}$.

$$-\frac{67}{8}=\frac{16}{8}$$

Compare $-\frac{67}{8}$ and $\frac{16}{8}$.

$$\text{false}$$