Cross-Cancelling MULTIPLYING FRACTIONS

Front

What is cross-cancelling in multiplying fractions?

Back

Cross-cancelling is a method used in multiplying fractions where you can simplify the fractions before multiplying by dividing the numerator of one fraction by the denominator of the other, if they share a common factor.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then simplify if possible.

Front

What is the product of 1/2 and 3/4?

Back

1/2 × 3/4 = 3/8.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

If you have 2/3 × 3/5, how can you simplify before multiplying?

Back

You can cross-cancel the 3 in the numerator of 2/3 with the 3 in the denominator of 3/5, resulting in 2/1 × 1/5 = 2/5.

Front

What is the first step in multiplying fractions?

Back

The first step is to check if you can cross-cancel any common factors between the numerators and denominators.

Front

What is the result of 4/5 × 5/6 after cross-cancelling?

Back

Cross-cancelling gives 4/1 × 1/6 = 4/6, which simplifies to 2/3.

Front

Can you cross-cancel with whole numbers?

Back

Yes, you can treat whole numbers as fractions by writing them over 1, allowing for cross-cancelling.

Front

What is the product of 3/8 and 4/9?

Back

3/8 × 4/9 = 12/72, which simplifies to 1/6.

Front

Why is cross-cancelling useful?

Back

Cross-cancelling makes multiplication easier by reducing the numbers involved, which can simplify calculations and reduce the chance of errors.