Epic Mixer Worksheet
Master Mixer Trials
Epic Mixer Worksheet
Applying mixed number addition with unlike denominators to world-building trials.
Name:
Date:
Score:
Your Mission:
Solve the adding mixed numbers trials below. For each problem, find the Least Common Multiple (LCM) to create equivalent fractions, show your complete working steps, and simplify your final answers!
Trial 1: The Baker Standard
A pastry chef mixes \(2\frac{2}{3}\) cups of whole wheat flour and \(1\frac{3}{5}\) cups of organic almond flour. How many total cups of flour are in the mixture?
SHOW WORKING DETAILS LCM:
Total Flour =
Trial 2: Trail Blazers Standard
A scenic wilderness hiking trail is split into two sections. The first section is \(3\frac{3}{4}\) miles long, and the second is \(2\frac{2}{7}\) miles long. What is the total length of the trail?
SHOW WORKING DETAILS LCM:
Total Length =
Trial 3: Cargo Rocket Standard
An orbital cargo ship is loaded with \(4\frac{5}{6}\) tons of fresh oxygen canisters and \(3\frac{4}{5}\) tons of scientific equipment. What is the combined cargo weight?
SHOW WORKING DETAILS LCM:
Total Weight =
Trial 4: Timber Joint Standard
A carpenter glues a premium strip of solid mahogany that is \(1\frac{1}{2}\) inches thick to a base support beam of spruce that is \(2\frac{5}{9}\) inches thick. What is the final thickness?
SHOW WORKING DETAILS LCM:
Total Thickness =
CONTINUE TO PAGE 2 FOR CHALLENGE PROBLEMS Page 1 of 2
Epic Mixer Worksheet
Part 2: Advanced Trials & Special Challenges
Challenge Zone Included
Trial 5: Alchemy Potion Standard
An apothecary combines \(5\frac{3}{8}\) drams of liquid silver extract and \(2\frac{1}{3}\) drams of pressurized stardust to create a healing tonic. How many total drams of medicine does the tonic contain?
SHOW WORKING DETAILS LCM:
Total Medicine =
Trial 6: Rescue Shelter Standard
The pet sanctuary uses \(6\frac{2}{5}\) bags of premium dry kibble and \(1\frac{3}{4}\) bags of specialized dietary canned food to feed the rescue puppies. What is the sum of the pet food used?
SHOW WORKING DETAILS LCM:
Total Food Sum =
Challenge 7: Golden Smoothie 3-Way Mix
A smoothie bar mixes \(1\frac{1}{2}\) cups of strawberry juice, \(2\frac{2}{3}\) cups of crushed mango pulp, and \(1\frac{1}{5}\) cups of blueberry juice. What is the total volume of fruit mix?
STRATEGY: FIND COMMON LCM FOR ALL THREE LCM:
Total Smoothie =
Challenge 8: Garden Project Multi-Step
A family spends \(3\frac{3}{4}\) hours digging garden soil, and \(2\frac{4}{5}\) hours planting flower beds. If they took an absolute break of \(1\frac{1}{3}\) hours in between, how much time elapsed from start to finish?
STRATEGY: INCLUDE BOTH WORK & BREAK TIMES LCM:
Total Time Passed =
END OF MASTER MIXER TRIALS Page 2 of 2
Epic Mixer Answer Key
Teacher Reference Resource
Epic Mixer Answer Key
Step-by-step solutions with least common denominators & final simplified answers.
Subject: 5th Grade Mathematics
Unit: Fractions
Standards: 5.NF.A.1, 2
Instructional Notes:
Use this key to verify step-by-step work. Students are graded both on finding the correct Least Common Multiple (LCM) to build equivalent fractions and on simplifying the final mixed numbers.
Trial 1: The Baker Standard
A pastry chef mixes \(2\frac{2}{3}\) cups of whole wheat flour and \(1\frac{3}{5}\) cups of organic almond flour. How many total cups of flour are in the mixture?
DETAILED SOLUTION STEPS LCM: 15
1. Convert with LCM 15:
\(2\frac{2}{3} = 2\frac{10}{15}\) | \(1\frac{3}{5} = 1\frac{9}{15}\)
2. Add whole numbers & fractions:
\(3\frac{19}{15} = 3 + 1\frac{4}{15} = 4\frac{4}{15}\)
Total Flour =
\(4\frac{4}{15}\) cups
Trial 2: Trail Blazers Standard
A scenic wilderness hiking trail is split into two sections. The first section is \(3\frac{3}{4}\) miles long, and the second is \(2\frac{2}{7}\) miles long. What is the total length of the trail?
DETAILED SOLUTION STEPS LCM: 28
1. Convert with LCM 28:
\(3\frac{3}{4} = 3\frac{21}{28}\) | \(2\frac{2}{7} = 2\frac{8}{28}\)
2. Add whole numbers & fractions:
\(5\frac{29}{28} = 5 + 1\frac{1}{28} = 6\frac{1}{28}\)
Total Length =
\(6\frac{1}{28}\) miles
Trial 3: Cargo Rocket Standard
An orbital cargo ship is loaded with \(4\frac{5}{6}\) tons of fresh oxygen canisters and \(3\frac{4}{5}\) tons of scientific equipment. What is the combined cargo weight?
DETAILED SOLUTION STEPS LCM: 30
1. Convert with LCM 30:
\(4\frac{5}{6} = 4\frac{25}{30}\) | \(3\frac{4}{5} = 3\frac{24}{30}\)
2. Add whole numbers & fractions:
\(7\frac{49}{30} = 7 + 1\frac{19}{30} = 8\frac{19}{30}\)
Total Weight =
\(8\frac{19}{30}\) tons
Trial 4: Timber Joint Standard
A carpenter glues a premium strip of solid mahogany that is \(1\frac{1}{2}\) inches thick to a base support beam of spruce that is \(2\frac{5}{9}\) inches thick. What is the final thickness?
DETAILED SOLUTION STEPS LCM: 18
1. Convert with LCM 18:
\(1\frac{1}{2} = 1\frac{9}{18}\) | \(2\frac{5}{9} = 2\frac{10}{18}\)
2. Add whole numbers & fractions:
\(3\frac{19}{18} = 3 + 1\frac{1}{18} = 4\frac{1}{18}\)
