Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$-(54)/(50)-(40)/(100)+1.65= Enter the answer as an exact decimal or simplified fraction.$

$-\frac{54}{50}-\frac{40}{100}+1.65=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

View step-by-step help

Home

Math Problems

Algebra 1

Powers with decimal and fractional bases

Full solution

-\frac{54}{50}-\frac{40}{100}+1.65=

\newline

Enter the answer as an exact decimal or simplified fraction.

Simplify Fractions and Convert: Simplify the fractions and convert the decimal to a fraction. $\newline$ $-\frac{54}{50}$ can be simplified by dividing both the numerator and the denominator by $2$ , which gives $-\frac{27}{25}$ . $\newline$ $-\frac{40}{100}$ can be simplified by dividing both the numerator and the denominator by $10$ , which gives $-\frac{4}{10}$ , and further simplifying by dividing by $2$ gives $-\frac{2}{5}$ . $\newline$ $1.65$ can be converted to a fraction by writing it as $\frac{165}{100}$ and simplifying by dividing both the numerator and the denominator by $2$ $0$ , which gives $2$ $1$ .
Convert to Common Denominator: Convert all fractions to have a common denominator. $\newline$ The least common multiple (LCM) of $25$ , $5$ , and $20$ is $100$ . $\newline$ Convert $-\frac{27}{25}$ to $-\frac{108}{100}$ by multiplying both the numerator and the denominator by $4$ . $\newline$ Convert $-\frac{2}{5}$ to $-\frac{40}{100}$ by multiplying both the numerator and the denominator by $20$ . $\newline$ $5$ $0$ is already in terms of $100$ , so we multiply both the numerator and the denominator by $5$ to get $5$ $3$ .
Add Fractions: Add the fractions together. $\newline$ Now that all fractions have a common denominator, we can add them together. $\newline$ -\frac{108}{100} - \frac{40}{100} + \frac{165}{100} = (\-108 - 40 + 165) / 100 $\newline$ Calculate the numerator: $-108 - 40 + 165 = 17$ $\newline$ So the sum of the fractions is $\frac{17}{100}$ .
Write Final Answer: Write the final answer. $\newline$ The final answer is $\frac{17}{100}$ , which is already in simplest form and does not need further simplification.