Solve 4 * x/5 + 2 7/10 - 7 3/10 | 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

$$4\frac{x}{5}+2\frac{7}{10}-7\frac{3}{10}$$

Evaluate

$\frac{4x-23}{5}$

Solution Steps

Express $4\times \frac{x}{5}$ as a single fraction.

$$\frac{4x}{5}+\frac{2\times 10+7}{10}-\frac{7\times 10+3}{10}$$

Multiply $2$ and $10$ to get $20$.

$$\frac{4x}{5}+\frac{20+7}{10}-\frac{7\times 10+3}{10}$$

Add $20$ and $7$ to get $27$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{7\times 10+3}{10}$$

Multiply $7$ and $10$ to get $70$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{70+3}{10}$$

Add $70$ and $3$ to get $73$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{73}{10}$$

Since $\frac{27}{10}$ and $\frac{73}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x}{5}+\frac{27-73}{10}$$

Subtract $73$ from $27$ to get $-46$.

$$\frac{4x}{5}+\frac{-46}{10}$$

Reduce the fraction $\frac{-46}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{4x}{5}-\frac{23}{5}$$

Since $\frac{4x}{5}$ and $\frac{23}{5}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x-23}{5}$$

Expand

$\frac{4x-23}{5}$

Solution Steps

Express $4\times \frac{x}{5}$ as a single fraction.

$$\frac{4x}{5}+\frac{2\times 10+7}{10}-\frac{7\times 10+3}{10}$$

Multiply $2$ and $10$ to get $20$.

$$\frac{4x}{5}+\frac{20+7}{10}-\frac{7\times 10+3}{10}$$

Add $20$ and $7$ to get $27$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{7\times 10+3}{10}$$

Multiply $7$ and $10$ to get $70$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{70+3}{10}$$

Add $70$ and $3$ to get $73$.

$$\frac{4x}{5}+\frac{27}{10}-\frac{73}{10}$$

Since $\frac{27}{10}$ and $\frac{73}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x}{5}+\frac{27-73}{10}$$

Subtract $73$ from $27$ to get $-46$.

$$\frac{4x}{5}+\frac{-46}{10}$$

Reduce the fraction $\frac{-46}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{4x}{5}-\frac{23}{5}$$

Since $\frac{4x}{5}$ and $\frac{23}{5}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x-23}{5}$$