Solve 40/30 - 3/30 - 2/30 = 1 | 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

$$\frac{40}{30}-\frac{3}{30}-\frac{2}{30}=1$$

Verify

$\text{false}$

Solution Steps

Reduce the fraction $\frac{40}{30}$ to lowest terms by extracting and canceling out $10$.

$$\frac{4}{3}-\frac{3}{30}-\frac{2}{30}=1$$

Reduce the fraction $\frac{3}{30}$ to lowest terms by extracting and canceling out $3$.

$$\frac{4}{3}-\frac{1}{10}-\frac{2}{30}=1$$

Least common multiple of $3$ and $10$ is $30$. Convert $\frac{4}{3}$ and $\frac{1}{10}$ to fractions with denominator $30$.

$$\frac{40}{30}-\frac{3}{30}-\frac{2}{30}=1$$

Since $\frac{40}{30}$ and $\frac{3}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-3}{30}-\frac{2}{30}=1$$

Subtract $3$ from $40$ to get $37$.

$$\frac{37}{30}-\frac{2}{30}=1$$

Since $\frac{37}{30}$ and $\frac{2}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-2}{30}=1$$

Subtract $2$ from $37$ to get $35$.

$$\frac{35}{30}=1$$

Reduce the fraction $\frac{35}{30}$ to lowest terms by extracting and canceling out $5$.

$$\frac{7}{6}=1$$

Convert $1$ to fraction $\frac{6}{6}$.

$$\frac{7}{6}=\frac{6}{6}$$

Compare $\frac{7}{6}$ and $\frac{6}{6}$.

$$\text{false}$$