Solve 2 10/2 * 8/4 * (2/8 - 1/2) * q | 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

$$2\frac{10}{2}\times\frac{8}{4}(\frac{2}{8}-\frac{1}{2})q$$

Evaluate

$-\frac{7q}{2}$

Solution Steps

Multiply $2$ and $2$ to get $4$.

$$\frac{4+10}{2}\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Add $4$ and $10$ to get $14$.

$$\frac{14}{2}\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Divide $14$ by $2$ to get $7$.

$$7\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Divide $8$ by $4$ to get $2$.

$$7\times 2\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Multiply $7$ and $2$ to get $14$.

$$14\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$14\left(\frac{1}{4}-\frac{1}{2}\right)q$$

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

$$14\left(\frac{1}{4}-\frac{2}{4}\right)q$$

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

$$14\times \frac{1-2}{4}q$$

Subtract $2$ from $1$ to get $-1$.

$$14\left(-\frac{1}{4}\right)q$$

Express $14\left(-\frac{1}{4}\right)$ as a single fraction.

$$\frac{14\left(-1\right)}{4}q$$

Multiply $14$ and $-1$ to get $-14$.

$$\frac{-14}{4}q$$

Reduce the fraction $\frac{-14}{4}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{7}{2}q$$

Expand

$-\frac{7q}{2}$

Solution Steps

Multiply $2$ and $2$ to get $4$.

$$\frac{4+10}{2}\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Add $4$ and $10$ to get $14$.

$$\frac{14}{2}\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Divide $14$ by $2$ to get $7$.

$$7\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Divide $8$ by $4$ to get $2$.

$$7\times 2\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Multiply $7$ and $2$ to get $14$.

$$14\left(\frac{2}{8}-\frac{1}{2}\right)q$$

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$14\left(\frac{1}{4}-\frac{1}{2}\right)q$$

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

$$14\left(\frac{1}{4}-\frac{2}{4}\right)q$$

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

$$14\times \frac{1-2}{4}q$$

Subtract $2$ from $1$ to get $-1$.

$$14\left(-\frac{1}{4}\right)q$$

Express $14\left(-\frac{1}{4}\right)$ as a single fraction.

$$\frac{14\left(-1\right)}{4}q$$

Multiply $14$ and $-1$ to get $-14$.

$$\frac{-14}{4}q$$

Reduce the fraction $\frac{-14}{4}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{7}{2}q$$