Reduce to simplest form. -(1)/(2)-(2)/(5)=

Find LCD: To combine the fractions, we need a common denominator. The least common denominator (LCD) for 2 and 5 is 10.Convert fractions to equivalent: Convert each fraction to an equivalent fraction with the denominator of 10. For -1/2, multiply the numerator and denominator by 5 to get -5/10. For -2/5, multiply the numerator and denominator by 2 to get -4/10.Add numerators: Now that we have common denominators, we can add the numerators: -5/10 - 4/10 = (-5 - 4)/10.Combine fractions: Combine the numerators: -5 - 4 = -9. So the combined fraction is -9/10.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Reduce to simplest form.

-(1)/(2)-(2)/(5)=

Reduce to simplest form. $\newline$ $-\frac{1}{2}-\frac{2}{5}=$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify variable expressions using properties

Full solution

Q. Reduce to simplest form.

\newline

-\frac{1}{2}-\frac{2}{5}=

Find LCD: To combine the fractions, we need a common denominator. The least common denominator (LCD) for $2$ and $5$ is $10$ .
Convert fractions to equivalent: Convert each fraction to an equivalent fraction with the denominator of $10$ . For $-\frac{1}{2}$ , multiply the numerator and denominator by $5$ to get $-\frac{5}{10}$ . For $-\frac{2}{5}$ , multiply the numerator and denominator by $2$ to get $-\frac{4}{10}$ .
Add numerators: Now that we have common denominators, we can add the numerators: $-\frac{5}{10} - \frac{4}{10} = \frac{(-5 - 4)}{10}$ .
Combine fractions: Combine the numerators: $-5 - 4 = -9$ . So the combined fraction is $\frac{-9}{10}$ .