Exploring Operations with Fractions

Why is it necessary to have the same denominators when adding or subtracting fractions?

• To make the numerators equal

• To simplify the fractions

• To ensure the fractions are comparable

• To avoid division by zero

What is the first step in multiplying fractions?

• Add the numerators

• Find a common denominator

• Multiply the numerators and denominators directly

• Take the reciprocal of the second fraction

What is the purpose of cancelling in multiplication of fractions?

• To convert the fractions to mixed numbers

• To change the fractions to improper fractions

• To make the denominators equal

• To simplify the fractions before multiplying

What is the preliminary step in dividing fractions?

• Subtract the denominators

• Take the reciprocal of the second fraction

• Multiply the numerators

• Find a common denominator

When adding 2/3 and 3/5, what is the lowest common denominator?

• 9

• 5

• 15

• 30

What is the result of adding 2/3 and 3/5 after finding a common denominator?

• 19/15

• 10/15

• 5/15

• 1/15

What is the result of subtracting 3/5 from 2/3 after finding a common denominator?

• 4/15

• 3/15

• 2/15

• 1/15

What is the result of multiplying 2/3 and 3/5 after cancelling common factors?

• 6/15

• 3/5

• 2/5

• 1/5

What is the result of dividing 2/3 by 3/5 after taking the reciprocal of the second fraction?

• 4/9

• 5/9

• 6/9

• 10/9

What is 10/9 written as a mixed number?

• 1 and 2/9

• 1 and 1/9

• 1 and 4/9

• 1 and 3/9