Simplifying Fractions and Mixed Numbers

The video tutorial explains how to evaluate mixed numbers by separating whole numbers from fractions, finding a common denominator, subtracting the fractions, and simplifying the result. The process involves distributing negative signs, calculating with common denominators, and simplifying fractions to their simplest form.

What is the first step in evaluating the expression 7 and 6/9 minus 3 and 2/5?

• Combine the whole numbers and fractions together

• Separate the whole numbers from the fractions

• Add the fractions first

• Convert all numbers to improper fractions

After separating the whole numbers, what is the result of subtracting them?

• 3

• 4

• 5

• 6

What is the least common multiple of the denominators 9 and 5?

• 35

• 45

• 40

• 50

How do you adjust the numerator of 6/9 when finding a common denominator with 2/5?

• Multiply by 9

• Multiply by 5

• Multiply by 2

• Multiply by 3

What is the result of subtracting 18/45 from 30/45?

• 12/45

• 10/45

• 16/45

• 14/45

What common factor can be used to simplify 12/45?

• 4

• 3

• 5

• 2

What is the simplified form of the fraction 12/45?

• 4/15

• 3/15

• 5/15

• 6/15

What is the final mixed number result of the expression?

• 4 and 5/15

• 4 and 4/15

• 4 and 3/15

• 4 and 6/15

Why is it important to simplify fractions in mathematical expressions?

• To ensure accuracy in calculations

• To change their value

• To make them look nicer

• To make them easier to add

What is the final step in solving the problem presented in the video?

• Rewriting the expression

• Adding the fractions

• Checking the work

• Simplifying the fraction