Solve F = 7/- 6 + (- 1/4) | 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

$$F=\frac{7}{-6}+(\frac{-1}{4})$$

Solve for F

$F = -\frac{17}{12} = -1\frac{5}{12} \approx -1.416666667$

Steps for Solving Linear Equation

Fraction $\frac{7}{-6}$ can be rewritten as $-\frac{7}{6}$ by extracting the negative sign.

$$F=-\frac{7}{6}+\frac{-1}{4}$$

Fraction $\frac{-1}{4}$ can be rewritten as $-\frac{1}{4}$ by extracting the negative sign.

$$F=-\frac{7}{6}-\frac{1}{4}$$

Least common multiple of $6$ and $4$ is $12$. Convert $-\frac{7}{6}$ and $\frac{1}{4}$ to fractions with denominator $12$.

$$F=-\frac{14}{12}-\frac{3}{12}$$

Since $-\frac{14}{12}$ and $\frac{3}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$F=\frac{-14-3}{12}$$

Subtract $3$ from $-14$ to get $-17$.

$$F=-\frac{17}{12}$$

Assign F

$F≔-\frac{17}{12}$