Solve -3/8\times28/25-(-3/8)\times3/25 | 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

$$-3/8 \times 28/25-(-3/8) \times 3/25$$

Evaluate

$-\frac{3}{8}=-0.375$

Solution Steps

Fraction $\frac{-3}{8}$ can be rewritten as $-\frac{3}{8}$ by extracting the negative sign.

$$\frac{-\frac{3}{8}\times 28}{25}-\frac{\frac{-3}{8}\times 3}{25}$$

Express $-\frac{3}{8}\times 28$ as a single fraction.

$$\frac{\frac{-3\times 28}{8}}{25}-\frac{\frac{-3}{8}\times 3}{25}$$

Multiply $-3$ and $28$ to get $-84$.

$$\frac{\frac{-84}{8}}{25}-\frac{\frac{-3}{8}\times 3}{25}$$

Reduce the fraction $\frac{-84}{8}$ to lowest terms by extracting and canceling out $4$.

$$\frac{-\frac{21}{2}}{25}-\frac{\frac{-3}{8}\times 3}{25}$$

Express $\frac{-\frac{21}{2}}{25}$ as a single fraction.

$$\frac{-21}{2\times 25}-\frac{\frac{-3}{8}\times 3}{25}$$

Multiply $2$ and $25$ to get $50$.

$$\frac{-21}{50}-\frac{\frac{-3}{8}\times 3}{25}$$

Fraction $\frac{-21}{50}$ can be rewritten as $-\frac{21}{50}$ by extracting the negative sign.

$$-\frac{21}{50}-\frac{\frac{-3}{8}\times 3}{25}$$

Fraction $\frac{-3}{8}$ can be rewritten as $-\frac{3}{8}$ by extracting the negative sign.

$$-\frac{21}{50}-\frac{-\frac{3}{8}\times 3}{25}$$

Express $-\frac{3}{8}\times 3$ as a single fraction.

$$-\frac{21}{50}-\frac{\frac{-3\times 3}{8}}{25}$$

Multiply $-3$ and $3$ to get $-9$.

$$-\frac{21}{50}-\frac{\frac{-9}{8}}{25}$$

Fraction $\frac{-9}{8}$ can be rewritten as $-\frac{9}{8}$ by extracting the negative sign.

$$-\frac{21}{50}-\frac{-\frac{9}{8}}{25}$$

Express $\frac{-\frac{9}{8}}{25}$ as a single fraction.

$$-\frac{21}{50}-\frac{-9}{8\times 25}$$

Multiply $8$ and $25$ to get $200$.

$$-\frac{21}{50}-\frac{-9}{200}$$

Fraction $\frac{-9}{200}$ can be rewritten as $-\frac{9}{200}$ by extracting the negative sign.

$$-\frac{21}{50}-\left(-\frac{9}{200}\right)$$

The opposite of $-\frac{9}{200}$ is $\frac{9}{200}$.

$$-\frac{21}{50}+\frac{9}{200}$$

Least common multiple of $50$ and $200$ is $200$. Convert $-\frac{21}{50}$ and $\frac{9}{200}$ to fractions with denominator $200$.

$$-\frac{84}{200}+\frac{9}{200}$$

Since $-\frac{84}{200}$ and $\frac{9}{200}$ have the same denominator, add them by adding their numerators.

$$\frac{-84+9}{200}$$

Add $-84$ and $9$ to get $-75$.

$$\frac{-75}{200}$$

Reduce the fraction $\frac{-75}{200}$ to lowest terms by extracting and canceling out $25$.

$$-\frac{3}{8}$$

Factor

$-\frac{3}{8} = -0.375$