Exploring Fraction Operations

The video tutorial guides middle schoolers through solving math problems involving fractions. It starts with preparation instructions, then covers four problems: adding fractions for garlic preparation, subtracting fractions for cake division, comparing running distances using subtraction, and calculating breath-holding duration with addition. Each problem emphasizes identifying keywords to determine whether to add or subtract, and uses visual aids or logical reasoning to find solutions.

What should you get before starting the lesson?

• A ruler

• A textbook

• Scratch paper and pencil or a whiteboard and marker

• A calculator

Arya prepared 5/12 cup of chopped garlic and Jana prepared 6/12 cup. How much garlic did they prepare in total?

• 1 cup

• 11/12 cup

• 12/12 cup

• 10/12 cup

Which keyword in the question indicates that you need to add the fractions?

• Difference

• Less than

• Remaining

• In total

If Arya prepared 5/12 cup of garlic and Jana prepared 6/12 cup, what is the sum?

• 12/12

• 11/12

• 10/12

• 1

If a brother ate 5/12 of a cake, how much is left for the rest of the family?

• 6/12

• 9/12

• 7/12

• 8/12

What is another way to think about subtracting 5/12 from a whole cake?

• Subtracting 5/12 from 12/12

• Dividing by 5/12

• Multiplying by 5/12

• Adding 5/12

Jeff ran 5/8 mile and Julie ran 2/8 mile. How much farther did Jeff run than Julie?

• 4/8 mile

• 3/8 mile

• 5/8 mile

• 2/8 mile

Which keyword indicates that you need to subtract the distances run by Jeff and Julie?

• Sum

• Together

• In total

• How much farther

Sandy can hold her breath for 5/6 minutes. Adele can hold her breath for 3/6 minutes longer than Sandy. How long can Adele hold her breath?

• 6/6 minutes

• 7/6 minutes

• 8/6 minutes

• 9/6 minutes

What does the keyword 'longer' indicate in the context of Adele holding her breath?

• Divide

• Multiply

• Subtract

• Add