Question

subtract.
$\boldsymbol{-\frac{1}{9} - \frac{2}{3}}$
write your answer in simplest form.

question 39 of 60
you want to walk from home to a grocery store that is $\frac{5}{8}$ miles away. you stop for a rest after $\frac{1}{4}$ miles. how much farther do you have to walk?
write your answer as a fraction in simplest form.

question 40 of 60
subtract.
$\frac{2}{3} - \frac{1}{4}$

question 41 of 60
subtract.
$\frac{4}{9} - \frac{3}{9}$

Explanation:

Question (Subtract \(-\frac{1}{9} - \frac{2}{3}\))

Step1: Find a common denominator

The denominators are 9 and 3. The least common denominator is 9. Rewrite \(\frac{2}{3}\) with denominator 9: \(\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}\)

Step2: Subtract the fractions

\(-\frac{1}{9}-\frac{6}{9}=-\frac{1 + 6}{9}=-\frac{7}{9}\)

Step1: Identify the total and walked distance

Total distance: \(\frac{5}{8}\) miles, walked distance: \(\frac{1}{4}\) miles.

Step2: Find a common denominator

Rewrite \(\frac{1}{4}\) with denominator 8: \(\frac{1}{4}=\frac{1\times2}{4\times2}=\frac{2}{8}\)

Step3: Subtract the distances

\(\frac{5}{8}-\frac{2}{8}=\frac{5 - 2}{8}=\frac{3}{8}\)

Step1: Find a common denominator

The least common denominator of 3 and 4 is 12. Rewrite the fractions: \(\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}\), \(\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}\)

Step2: Subtract the fractions

\(\frac{8}{12}-\frac{3}{12}=\frac{8 - 3}{12}=\frac{5}{12}\)

Answer:

\(-\frac{7}{9}\)

Question 39 (Distance to walk)