Greater Lesser Fractions Worksheet
Greater, Lesser & Times
Multiplicative Comparison with Fractions • Problem Set
Name:
Date:
KEY CORE Multiplicative Relationship: \(\text{Greater} = \text{Lesser} \times \text{Times}\)
\(\text{Lesser} = \text{Greater} \div \text{Times}\)
Part 1: Multiple Choice
Identify Greater & Lesser, then select the correct answer
1. Track Laps: During distance practice, Coach Rivera recorded that Marcus ran \(1 \frac{3}{4}\) times as many laps as Chloe. Chloe completed exactly 8 laps. How many laps did Marcus run?
Greater Quantity: ____________________
Lesser Quantity: ____________________
Times Factor: \(1 \frac{3}{4}\)
A Marcus is greater; \(8 \times 1\frac{3}{4} = 14\) laps
B Chloe is greater; \(8 \div 1\frac{3}{4} = 4\frac{4}{7}\) laps
C Marcus is greater; \(8 + 1\frac{3}{4} = 9\frac{3}{4}\) laps
D Chloe is greater; \(8 \times 1\frac{3}{4} = 14\) laps
2. Laboratory Solutions: A chemist prepared two beakers. Solution B has a volume of 360 mL, which is \(\frac{9}{4}\) times the volume of Solution A. What is the volume of Solution A?
Greater Quantity: ____________________
Lesser Quantity: ____________________
Times Factor: \(\frac{9}{4}\)
A Solution A is lesser; \(360 \times \frac{9}{4} = 810\text{ mL}\)
B Solution A is lesser; \(360 \div \frac{9}{4} = 160\text{ mL}\)
C Solution A is greater; \(360 \div \frac{9}{4} = 160\text{ mL}\)
D Solution A is greater; \(360 \times \frac{9}{4} = 810\text{ mL}\)
3. Bakery Ingredients: A pastry chef uses \(\frac{5}{2}\) times as much white sugar as brown sugar for artisan cookies. The recipe requires \(3 \frac{1}{3}\) cups of brown sugar. How many more cups of white sugar than brown sugar are used?
Greater Quantity: ____________________
Lesser Quantity: ____________________
Times Factor: \(\frac{5}{2}\)
A White sugar is greater; \(8 \frac{1}{3}\) cups difference
B Brown sugar is greater; \(5\) cups difference
C White sugar is greater; \(5\) cups difference
D White sugar is greater; \(1 \frac{1}{6}\) cups difference
Always check whether the problem asks for the Greater quantity, the Lesser quantity, or their Difference. Page 1 of 2
Part 2: Open-Ended Modeling & Calculation
Show Complete Work
Clearly identify the Greater and Lesser quantities, draw a bar model or write an equation, and compute your solution.
4. Rescue Sanctuary Weights: At an animal rescue sanctuary, Atlas the Great Dane weighs \(2 \frac{2}{3}\) times as much as Barnaby the Beagle. When weighed together on the clinic platform scale, their combined weight is exactly \(110\) pounds.
1. Greater Quantity
2. Lesser Quantity
3. Times Factor
\(2 \frac{2}{3} = \frac{8}{3}\)
Model & Calculation Workspace (Bar Model or Unit Fraction Equations):
Barnaby's Weight: ______ lbs
Atlas's Weight: ______ lbs
Weight Difference: ______ lbs
5. Greenhouse Harvest: Samantha and Diego gathered bell peppers from their school garden. Samantha harvested \(1 \frac{5}{8}\) times as many pounds of peppers as Diego. Samantha's total harvest weighed exactly \(26\) pounds.
1. Greater Quantity
2. Lesser Quantity
3. Times Factor
\(1 \frac{5}{8} = \frac{13}{8}\)
Calculation Workspace (Find Diego's Harvest & Explain Steps):
Diego's Harvest: ____________ lbs
Fraction Check (\(\text{Greater} \div \text{Lesser}\)): ____________
Self-Check: Multiply your lesser answer by the fraction factor. Does it equal the greater quantity? Page 2 of 2
