Operations with Fractions and Variables

Mr. Woolley introduces a lesson on collecting rational number like terms, focusing on fractions. The video includes examples of calculating combined weights, subtracting fractions with different denominators, and multiplying fractions. It also covers rewriting expressions by collecting like terms and provides practice instructions.

What is the main focus of the lesson introduced by Mr. Woolley?

• Understanding basic arithmetic operations

• Learning about historical mathematicians

• Collecting rational number like terms and working with fractions

• Introduction to geometry and shapes

If Terry weighs 40 kg and Janus weighs 2 and 3/4 kg less than Terry, what is their combined weight?

• 40 kg

• 37 and 1/4 kg

• 80 kg

• 77 and 1/4 kg

When dealing with fractions having different denominators, what is the first step?

• Find a common denominator

• Multiply the fractions

• Add the fractions directly

• Ignore the denominators

What is the result of multiplying 4 by 3/5?

• 3/5

• 2 and 2/5

• 12/5

• 1 and 3/5

How do you convert an improper fraction to a mixed number?

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

What is the first step in collecting like terms in an algebraic expression?

• Identify terms with the same variable

• Multiply all terms

• Add all coefficients

• Ignore the variables

In the expression 2 and 11/36 n, what does 'n' represent?

• A fraction

• A whole number

• A constant

• A variable

What is the result of subtracting 3/7 i from 7 and 1/2 i?

• 7 i

• 7 and 1/14 i

• 6 and 1/2 i

• 3/7 i

How do you simplify the expression -5/12 h + 7 and 1/14 i?

• By adding the coefficients

• By ignoring the variables

• By combining like terms

• By multiplying the terms

What is the common denominator for the fractions 1/3 and 1/4?

• 3

• 4

• 12

• 7