Solve though we cannot do directly 3/4 - 2/3 W 3/4 - 2/3 = 9/12 - 8/12 = 1/12 | 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

$$\frac { 3 } { 4 } - \frac { 2 } { 3 } = \frac { 9 } { 12 } - \frac { 8 } { 12 } = \frac { 1 } { 12 }$$

Verify

$\text{true}$

Solution Steps

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{3}{4}$ and $\frac{2}{3}$ to fractions with denominator $12$.

$$\frac{9}{12}-\frac{8}{12}=\frac{9}{12}-\frac{8}{12}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Since $\frac{9}{12}$ and $\frac{8}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-8}{12}=\frac{9}{12}-\frac{8}{12}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Subtract $8$ from $9$ to get $1$.

$$\frac{1}{12}=\frac{9}{12}-\frac{8}{12}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Since $\frac{9}{12}$ and $\frac{8}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{12}=\frac{9-8}{12}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Subtract $8$ from $9$ to get $1$.

$$\frac{1}{12}=\frac{1}{12}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Compare $\frac{1}{12}$ and $\frac{1}{12}$.

$$\text{true}\text{ and }\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$$

Since $\frac{9}{12}$ and $\frac{8}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\text{true}\text{ and }\frac{9-8}{12}=\frac{1}{12}$$

Subtract $8$ from $9$ to get $1$.

$$\text{true}\text{ and }\frac{1}{12}=\frac{1}{12}$$

Compare $\frac{1}{12}$ and $\frac{1}{12}$.

$$\text{true}\text{ and }\text{true}$$

The conjunction of $\text{true}$ and $\text{true}$ is $\text{true}$.

$$\text{true}$$