Question

4 show how you can use the visual model to subtract \\(\frac{3}{4} - \frac{5}{8}\\). \\(\frac{3}{4} - \frac{5}{8} = \\) 5 on saturday, destiny spends \\(\frac{1}{6}\\) of the day playing in a soccer tournament. she spends \\(\frac{1}{8}\\) of the day volunteering with her parents at the community garden. the rest of the day she spends at home. a day has 24 hours. what fraction of saturday does destiny spend at home? show your work. solution lesson 13 subtract fractions 258

Explanation:

Step1: Find total time spent outside

First, we need to find the total fraction of the day Destiny spends playing soccer and volunteering. To add \(\frac{1}{6}\) and \(\frac{1}{8}\), we find a common denominator. The least common denominator of 6 and 8 is 24.
Convert \(\frac{1}{6}\) to a fraction with denominator 24: \(\frac{1\times4}{6\times4}=\frac{4}{24}\)
Convert \(\frac{1}{8}\) to a fraction with denominator 24: \(\frac{1\times3}{8\times3}=\frac{3}{24}\)
Now add the two fractions: \(\frac{4}{24}+\frac{3}{24}=\frac{4 + 3}{24}=\frac{7}{24}\)

Step2: Find time spent at home

The total fraction of a day is 1 (or \(\frac{24}{24}\)). To find the fraction of the day spent at home, we subtract the total fraction spent outside from 1.
\(1-\frac{7}{24}=\frac{24}{24}-\frac{7}{24}=\frac{24-7}{24}=\frac{17}{24}\)

Answer:

\(\frac{17}{24}\)