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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(3)/(20)-(-(1)/(8)) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{3}{20}-\left(-\frac{1}{8}\right)$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

-\frac{3}{20}-\left(-\frac{1}{8}\right)

\newline

Answer:

Identify Given Expression: Identify the given expression and the operation to be performed. $\newline$ The given expression is $-\left(\frac{3}{20}\right) - \left(-\left(\frac{1}{8}\right)\right)$ . We need to subtract the second fraction from the first one, taking into account the negative signs.
Simplify with Double Negative: Simplify the expression by removing the double negative. $\newline$ The double negative in the expression $-(\frac{3}{20}) - (-(\frac{1}{8}))$ turns the second term into a positive, so the expression becomes: $\newline$ $-(\frac{3}{20}) + (\frac{1}{8})$
Find Common Denominator: Find a common denominator for the fractions. $\newline$ The denominators are $20$ and $8$ . The least common multiple of $20$ and $8$ is $40$ , so we will use $40$ as the common denominator.
Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator. $\newline$ For the first fraction, multiply both the numerator and denominator by $2$ to get: $\newline$ $-(\frac{3}{20}) \cdot (\frac{2}{2}) = -(\frac{6}{40})$ $\newline$ For the second fraction, multiply both the numerator and denominator by $5$ to get: $\newline$ $(\frac{1}{8}) \cdot (\frac{5}{5}) = (\frac{5}{40})$
Perform Subtraction: Perform the subtraction using the common denominator. $\newline$ Now that both fractions have the same denominator, we can combine the numerators: $\newline$ $-\frac{6}{40} + \frac{5}{40} = \frac{-6 + 5}{40}$
Simplify and Final Answer: Simplify the numerator and write the final answer. $\newline$ The simplified numerator is $-1$ , so the final answer is: $\newline$ $(-6 + 5)/40 = -1/40$