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 simplest form, where the numerator and denominator have no common factors other than 1.

Front

If you have 2/3 and 4/5, what is the first step in multiplying these 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 cross-cancelling 2/3 and 4/5 before multiplying?

Back

You can divide 2 by 2 (which gives 1) and 4 by 2 (which gives 2), resulting in 1/3 and 2/5. Then multiply: 1/3 × 2/5 = 2/15.

Front

What is a common mistake when multiplying fractions?

Back

A common mistake is to add the fractions instead of multiplying them.

Front

What is the formula for multiplying fractions?

Back

The formula is: (a/b) × (c/d) = (a × c) / (b × d), where a, b, c, and d are integers.

Front

Can you multiply a fraction by a whole number?

Back

Yes, you can multiply a fraction by a whole number by converting the whole number into a fraction (e.g., 3 becomes 3/1) and then multiplying.

Front

What is the product of 3/5 and 2?

Back

3/5 × 2 = 3/5 × 2/1 = 6/5 or 1 1/5.