Fraction Flex Do Now
Math Bell Ringer • 7-10 Min
Fraction Flex: Mixed Numbers
Name:
Date:
Score: / 10
Key Strategies:
1. Standard Form: Keep the whole number. Divide numerator and denominator by their \(\text{GCF}\).
2. Improper Fraction Part: Convert the improper portion into wholes + leftover fraction, then combine.
A Part A: Simplify to Lowest Terms
Divide numerator & denominator by \(\text{GCF}\)
- \(3\frac{6}{8}\)
=
- \(5\frac{12}{18}\)
=
- \(7\frac{15}{25}\)
=
- \(8\frac{21}{28}\)
=
B Part B: Regroup & Simplify
Convert improper fraction part and simplify
- \(2\frac{8}{6}\)
Regrouping Steps
Final Answer
- \(4\frac{14}{4}\)
Regrouping Steps
Final Answer
- \(1\frac{20}{12}\)
Regrouping Steps
Final Answer
Part C: Error Analysis • Critique Reasoning
Jordan simplified \(6\frac{16}{24}\) and wrote the final answer as \(6\frac{8}{12}\). Jordan claims this mixed number cannot be simplified any further.
Explain Jordan's error:
True Simplest Form:
Page 1: Mixed Number Skills Turn to Page 2 for Word Problems →
Application Practice
Real-World Simplification
Page 2 • Word Problems
Directions: Read each word problem carefully. Write the mixed number or fraction described, show your simplification work in the space provided, and write your final answer in simplest form with correct units.
1
Baking Measurement: A bakery chef measured \(4\frac{18}{24}\) cups of unbleached flour while preparing batches of artisan sourdough bread. What is the amount of flour in simplest mixed number form?
Show Your Simplification Work:
Final Answer:
2
Track Distance: During cross-country training, Mateo jogged around the reservoir trail for a total distance of \(6\frac{25}{35}\) miles. Express Mateo's running distance as a mixed number in simplest terms.
Show Your Simplification Work:
Final Answer:
3
Carpentry Project: An apprentice carpenter joined pieces of molding together, creating a trim that measured \(3\frac{14}{4}\) feet long. Regroup the improper fractional part and express the final length in simplest form.
Show Your Regrouping & Simplification Work:
Final Answer:
4
Science Lab Volume: In a chemistry experiment, a graduated flask contains \(5\frac{28}{42}\) deciliters of saline solution. Reduce the fractional portion to lowest terms to report the exact simplified measurement.
Show Your Simplification Work:
Final Answer:
Brain Flex Bonus Which is greater: \(3\frac{12}{16}\) or \(3\frac{20}{30}\)? Simplify both to justify!
Page 2: Word Problems Turn to Page 3 for Mixed Review →
Mixed Review • Skills Extension
Multiply & Simplify Fractions
Page 3 • Multiplying Fractions
Multiplication Rule: Multiply numerators straight across and denominators straight across: \(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\). Then reduce your product to lowest terms (or simplify factors before multiplying).
A Multiply Then Simplify
Show the unsimplified product, then write in lowest terms
- \(\frac{2}{3} \times \frac{3}{8}\)
Raw Product
Simplest Form
- \(\frac{4}{5} \times \frac{10}{12}\)
Raw Product
Simplest Form
- \(\frac{5}{6} \times \frac{9}{10}\)
Raw Product
Simplest Form
- \(\frac{3}{7} \times \frac{14}{15}\)
Raw Product
Simplest Form
- \(\frac{7}{8} \times \frac{4}{21}\)
Raw Product
Simplest Form
- \(\frac{6}{11} \times \frac{22}{9}\)
Raw Product
Simplest Form
B Part B: Multiplication in Context
7
Bakery Scaling: A cookie recipe calls for \(\frac{3}{4}\) cup of dark chocolate chips. Serena is preparing \(\frac{2}{3}\) of the batch. How many cups of chocolate chips will she need? Multiply and simplify.
Show Multiplication & Simplification:
Final Answer:
8
Landscape Design: An herb garden plot measures \(\frac{4}{5}\) meter long by \(\frac{5}{8}\) meter wide. Find the area of the plot in square meters (\(\text{Area} = \text{length} \times \text{width}\)) in simplest terms.
Show Multiplication & Simplification:
Final Answer:
Shortcut Spotlight: Cross-Canceling
Did you notice you can simplify factors before multiplying? In \(\frac{2}{3} \times \frac{3}{8}\), dividing both \(3\)'s by 3 and both \(2\) and \(8\) by 2 gives \(\frac{1}{1} \times \frac{1}{4} = \frac{1}{4}\) directly!
Page 3: Mixed Review Fraction Flex Complete
