progress: the movement of the progress bar may be uneven because questions can be worth more or less…

progress: the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. kelly is making homemade trail mix. she mixed together 1 1/4 pounds of peanuts, 2/5 pounds of chocolate candies, and 3/20 pounds of dried fruit. how many total pounds does her trail mix weigh? (simplify your answer and state it as a mixed number.) 1 1/5 pounds 4/5 pounds 1 6/29 pounds 1 3/10 pounds

progress: the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. kelly is making homemade trail mix. she mixed together 1 1/4 pounds of peanuts, 2/5 pounds of chocolate candies, and 3/20 pounds of dried fruit. how many total pounds does her trail mix weigh? (simplify your answer and state it as a mixed number.) 1 1/5 pounds 4/5 pounds 1 6/29 pounds 1 3/10 pounds

Answer

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$

Step2: Find a common denominator

The common denominator of 4, 5 and 20 is 20. $\frac{5}{4}=\frac{5\times5}{4\times5}=\frac{25}{20}$, $\frac{2}{5}=\frac{2\times4}{5\times4}=\frac{8}{20}$

Step3: Add the fractions

$\frac{25}{20}+\frac{8}{20}+\frac{3}{20}=\frac{25 + 8+3}{20}=\frac{36}{20}$

Step4: Simplify the fraction and convert to mixed - number

$\frac{36}{20}=\frac{9}{5}=1\frac{4}{5}$

Answer:

$1\frac{4}{5}$ pounds