Solve (3)/(7)+(2)/(3)+(19)/(21) | 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

$$\frac{ 3 }{ 7 } + \frac{ 2 }{ 3 } + \frac{ 19 }{ 21 }$$

Evaluate

$2$

Solution Steps

Least common multiple of $7$ and $3$ is $21$. Convert $\frac{3}{7}$ and $\frac{2}{3}$ to fractions with denominator $21$.

$$\frac{9}{21}+\frac{14}{21}+\frac{19}{21}$$

Since $\frac{9}{21}$ and $\frac{14}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{9+14}{21}+\frac{19}{21}$$

Add $9$ and $14$ to get $23$.

$$\frac{23}{21}+\frac{19}{21}$$

Since $\frac{23}{21}$ and $\frac{19}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{23+19}{21}$$

Add $23$ and $19$ to get $42$.

$$\frac{42}{21}$$

Divide $42$ by $21$ to get $2$.

$$2$$

Factor

$2$