Solve ( 2 ) 3/4 + 4/21 + 1/8 + 0/7 2 8 11 4 2 | 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

$$\left. \begin{array} { l } { \frac { 3 } { 4 } + \frac { 4 } { 21 } + \frac { 1 } { 8 } + \frac { 0 } { 7 } } \\ { 2 , 8 , 11 , 4 } \end{array} \right.$$

Sort

$\frac{179}{168},2,4,8,11$

Solution Steps

Least common multiple of $4$ and $21$ is $84$. Convert $\frac{3}{4}$ and $\frac{4}{21}$ to fractions with denominator $84$.

$$sort(\frac{63}{84}+\frac{16}{84}+\frac{1}{8}+\frac{0}{7},2,8,11,4)$$

Since $\frac{63}{84}$ and $\frac{16}{84}$ have the same denominator, add them by adding their numerators.

$$sort(\frac{63+16}{84}+\frac{1}{8}+\frac{0}{7},2,8,11,4)$$

Add $63$ and $16$ to get $79$.

$$sort(\frac{79}{84}+\frac{1}{8}+\frac{0}{7},2,8,11,4)$$

Least common multiple of $84$ and $8$ is $168$. Convert $\frac{79}{84}$ and $\frac{1}{8}$ to fractions with denominator $168$.

$$sort(\frac{158}{168}+\frac{21}{168}+\frac{0}{7},2,8,11,4)$$

Since $\frac{158}{168}$ and $\frac{21}{168}$ have the same denominator, add them by adding their numerators.

$$sort(\frac{158+21}{168}+\frac{0}{7},2,8,11,4)$$

Add $158$ and $21$ to get $179$.

$$sort(\frac{179}{168}+\frac{0}{7},2,8,11,4)$$

Zero divided by any non-zero number gives zero.

$$sort(\frac{179}{168}+0,2,8,11,4)$$

Add $\frac{179}{168}$ and $0$ to get $\frac{179}{168}$.

$$sort(\frac{179}{168},2,8,11,4)$$

Convert decimal numbers in the list $\frac{179}{168},2,8,11,4$ to fractions.

$$\frac{179}{168},2,8,11,4$$

To sort the list, start from a single element $\frac{179}{168}$.

$$\frac{179}{168}$$

Insert $2$ to the appropriate location in the new list.

$$\frac{179}{168},2$$

Insert $8$ to the appropriate location in the new list.

$$\frac{179}{168},2,8$$

Insert $11$ to the appropriate location in the new list.

$$\frac{179}{168},2,8,11$$

Insert $4$ to the appropriate location in the new list.

$$\frac{179}{168},2,4,8,11$$

Evaluate

$\frac{179}{168},\ 2,\ 8,\ 11,\ 4$