Adding and Comparing Fractions

Julie needs fabric for her pillow covers. To find the total fabric required, she must sum fractions of print and solid fabric. The process involves finding a common denominator using prime factorization. The least common denominator is determined, and the fractions are converted and summed to find the total fabric needed.

What is the amount of print fabric needed for each pillow cover?

• Two-fifths of a yard

• Two-fifteenths of a yard

• Four thirty-fifths of a yard

• Four-fifths of a yard

What is the first step in finding the total fabric needed for each pillow cover?

• Divide the fractions

• Subtract the fractions

• Multiply the fractions

• Add the fractions

Why is it necessary to find a common denominator when adding fractions?

• To simplify the fractions

• To multiply the fractions

• To ensure the fractions have the same base for addition

• To convert fractions to decimals

What is the least common multiple of 35 and 15?

• 45

• 70

• 105

• 150

Which prime factors are used to express 35?

• 3 and 5

• 5 and 7

• 3 and 7

• 2 and 5

What is the purpose of multiplying the numerator and denominator by a factor?

• To change the fraction's value

• To convert the fraction to a decimal

• To find a common denominator

• To simplify the fraction

What is the equivalent fraction of four thirty-fifths with a denominator of 105?

• 16 over 105

• 14 over 105

• 12 over 105

• 18 over 105

What is the equivalent fraction of two fifteenths with a denominator of 105?

• 16 over 105

• 14 over 105

• 12 over 105

• 10 over 105

What is the total amount of fabric needed for each pillow cover?

• 24 over 105

• 26 over 105

• 28 over 105

• 30 over 105

What is the final step in determining the total fabric needed?

• Subtract the numerators

• Multiply the fractions

• Add the numerators

• Divide the fractions