Solve - 5/21 * 21/- 5 = 1 | 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

$$\frac{-5}{21}\times\frac{21}{-5}=1$$

Verify

$\text{true}$

Solution Steps

Fraction $\frac{-5}{21}$ can be rewritten as $-\frac{5}{21}$ by extracting the negative sign.

$$-\frac{5}{21}\times \frac{21}{-5}=1$$

Fraction $\frac{21}{-5}$ can be rewritten as $-\frac{21}{5}$ by extracting the negative sign.

$$-\frac{5}{21}\left(-\frac{21}{5}\right)=1$$

Multiply $-\frac{5}{21}$ times $-\frac{21}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-21\right)}{21\times 5}=1$$

Do the multiplications in the fraction $\frac{-5\left(-21\right)}{21\times 5}$.

$$\frac{105}{105}=1$$

Divide $105$ by $105$ to get $1$.

$$1=1$$

Compare $1$ and $1$.

$$\text{true}$$