Solving Problems with Mixed Numbers

This video tutorial covers solving area problems by dividing mixed numbers. It explains how to find missing dimensions of a rectangle using division, and how to handle mixed numbers by converting them into improper fractions. The tutorial also highlights the importance of using the greatest common factor (GCF) and cross-canceling to simplify calculations. It warns against common mistakes, such as using GCF too early, and provides a step-by-step guide to solving these problems. The video concludes with a preview of the next lesson on multi-step problems with fractions.

What is the main focus of lesson 4.3b?

• Solving problems involving volume

• Solving problems involving area

• Solving problems involving perimeter

• Solving problems involving angles

How can you find the width of a rectangle if you know the area and the length?

• Divide the area by the length

• Add the length to the area

• Subtract the length from the area

• Multiply the area by the length

What is the first step in solving area problems with mixed numbers?

• Convert mixed numbers to improper fractions

• Multiply the mixed numbers

• Add the mixed numbers

• Subtract the mixed numbers

What is the greatest common factor (GCF) used for in division problems?

• To divide fractions

• To simplify fractions

• To multiply fractions

• To add fractions

What should you do before using the GCF in a division problem?

• Multiply the fractions

• Convert the division to multiplication by the reciprocal

• Add the fractions

• Subtract the fractions

What is the correct answer when 21 is divided by 4?

• 5 with a remainder of 1

• 5 with a remainder of 2

• 6 with a remainder of 1

• 6 with a remainder of 2

What mistake might occur if the GCF is used too early in a division problem?

• The answer will be too large

• The answer will be a whole number instead of a fraction

• The answer will be zero

• The answer will be negative

What is the final step in solving a division problem involving mixed numbers?

• Multiply the quotient by the divisor

• Write the quotient as a mixed number and label it

• Add the quotient to the divisor

• Subtract the quotient from the divisor

What will the next lesson focus on?

• Solving single-step problems with fractions

• Solving multi-step problems with fractions and mixed numbers

• Solving problems with whole numbers

• Solving problems with decimals

What is recommended to help solve problems more quickly?

• Memorizing addition facts

• Memorizing multiplication facts

• Memorizing division facts

• Memorizing subtraction facts