Solve (9)/(10)+((-13)/(8) | 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

$$\frac{ 9 }{ 10 } +( \frac{ -13 }{ 8 }$$

Evaluate

$-\frac{29}{40}=-0.725$

Solution Steps

Fraction $\frac{-13}{8}$ can be rewritten as $-\frac{13}{8}$ by extracting the negative sign.

$$\frac{9}{10}-\frac{13}{8}$$

Least common multiple of $10$ and $8$ is $40$. Convert $\frac{9}{10}$ and $\frac{13}{8}$ to fractions with denominator $40$.

$$\frac{36}{40}-\frac{65}{40}$$

Since $\frac{36}{40}$ and $\frac{65}{40}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-65}{40}$$

Subtract $65$ from $36$ to get $-29$.

$$-\frac{29}{40}$$

Factor

$-\frac{29}{40} = -0.725$