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Chapter 4: Problem 9

Perform the indicated operation. Write all results in lowest terms. $$-\frac{3}{16}-\frac{3}{16}$$

Short Answer

Expert verified
Answer: The simplified result of the sum is $$\frac{-3}{8}$$.

Step by step solution

01

Add the Numerators

Since the denominators are the same (16), we can directly perform the addition by adding the numerators together: $$-\frac{3}{16}-\frac{3}{16}$$ $$= \frac{-3-3}{16}$$
02

Calculate the Sum of the Numerators

Now let's sum the numerators: $$-3-3 = -6$$ So the sum of the numerators is -6.
03

Write the New Fraction

Now, put the sum of the numerators (-6) over the common denominator (16): $$\frac{-6}{16}$$
04

Simplify the Fraction

The greatest common divisor (GCD) of 6 and 16 is 2. Hence, divide both numerator and denominator by 2 to simplify the fraction: $$\frac{-6}{16} = \frac{-6\div2}{16\div2} = \frac{-3}{8}$$ The simplified answer is: $$\frac{-3}{8}$$

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Most popular questions from this chapter

A student spends \(\frac{1}{3}\) of a typical day sleeping, \(\frac{1}{6}\) of the day in classes, and \(\frac{1}{8}\) of the day watching TV. a. If \(x\) represents the fraction of the rest of the day available for study, write an equation describing the situation. b. Solve the equation for \(x .\)
Divide each of the following and express each answer in simplest form. $$a \cdot \frac{1}{5} \div \frac{1}{10}$$ $$\text { b. } \frac{-5}{9} \div \frac{25}{-21}$$ $$\text { c. }-8 \div \frac{8}{10}$$ $$d .-\frac{12}{26} \div \frac{8}{15}$$ $$\text { e. } \frac{\frac{-3}{10}}{\frac{-5}{9}}$$ $$\frac{\frac{23}{19}}{-46}$$
Perform the indicated operation. Write all results in lowest terms. $$\frac{4}{5}-\frac{1}{5}$$
Perform the indicated operation. Write all results in lowest terms. $$-\frac{3}{7}-\frac{2}{7}$$
Reduce the given fraction to an equivalent fraction in lowest terms. $$\frac{8}{28}$$
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