Solve (4)/(3)-(5)/(7)+(2)/(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

$$\frac{ 4 }{ 3 } - \frac{ 5 }{ 7 } + \frac{ 2 }{ 21 }$$

Evaluate

$\frac{5}{7}\approx 0.714285714$

Solution Steps

Least common multiple of $3$ and $7$ is $21$. Convert $\frac{4}{3}$ and $\frac{5}{7}$ to fractions with denominator $21$.

$$\frac{28}{21}-\frac{15}{21}+\frac{2}{21}$$

Since $\frac{28}{21}$ and $\frac{15}{21}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-15}{21}+\frac{2}{21}$$

Subtract $15$ from $28$ to get $13$.

$$\frac{13}{21}+\frac{2}{21}$$

Since $\frac{13}{21}$ and $\frac{2}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{13+2}{21}$$

Add $13$ and $2$ to get $15$.

$$\frac{15}{21}$$

Reduce the fraction $\frac{15}{21}$ to lowest terms by extracting and canceling out $3$.

$$\frac{5}{7}$$

Factor

$\frac{5}{7} = 0.7142857142857143$