What is 2/3 times 3?

Answer: 2/3 times 3 is 2

When multiplying a fraction by a whole number, the process involves multiplying the numerator by the whole number while keeping the denominator the same. This type of problem helps build understanding of how fractions interact with whole numbers and is foundational for solving more complex fraction operations.

Methods

Math Tutor Explanation Using Fraction Multiplication

To multiply a fraction by a whole number, express the whole number as a fraction and then multiply across numerators and denominators.

Step 1: Step 1: Rewrite 3 as 3/1

Step 2: Step 2: Multiply numerators: 2 × 3 = 6

Math Tutor Explanation Using Simplification

After multiplying, simplify the resulting fraction to get the final answer.

Step 1: Step 1: After multiplying, you have 6/3

Step 2: Step 2: Simplify 6/3 by dividing numerator and denominator by 3, which gives 2/1

Step 1:

Step 2:

Math Tutor suggests: Master Fraction Multiplication and Related Skills

Strengthen your understanding of multiplying fractions and working with fractional numbers with these targeted exercises.

FAQ on Multiplying Fractions and Whole Numbers

Can you always multiply a fraction by a whole number?

Yes, you multiply the numerator by the whole number and keep the denominator the same.

Do you need to simplify the answer after multiplying?

It's best to simplify your answer to its lowest terms.

What if the whole number is a fraction itself?

Treat both numbers as fractions and multiply numerators and denominators across.

Why do we write the whole number as a fraction?

Writing the whole number as a fraction makes it easier to apply fraction multiplication rules.

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