Reviewed by Janice S. Armas
What is the value of 2/3 × 4 as a fraction?
Answer: 2/3 × 4 as a fraction is 8/3
Multiplying a fraction by a whole number involves scaling the fraction by that number. In this problem, you'll calculate the product of 2/3 and 4 to find the resulting fraction, which helps in understanding how fractions interact with whole numbers.
Methods
Math Tutor Explanation Using the Multiplication Method
Multiply the fraction 2/3 by the whole number 4 by expressing the whole number as a fraction, then multiply the numerators and the denominators.
Step 1: Step 1: Express 4 as a fraction, which is 4/1
Step 2: Step 2: Multiply the numerators: 2 × 4 = 8
Math Tutor Explanation Using Repeated Addition
Multiply 2/3 by 4 by adding 2/3 four times, which is the same as multiplying.
Step 1: Step 1: Add 2/3 + 2/3 + 2/3 + 2/3
Step 2: Step 2: Sum the numerators: 2 + 2 + 2 + 2 = 8
Step 1:
Step 2:
Math Tutor suggests: Practice Multiplying Fractions and Whole Numbers
Continue building your skills in multiplying fractions by whole numbers with these related fraction exercises.
FAQ on Multiplying Fractions by Whole Numbers
Can you multiply any fraction by a whole number?
Yes, multiply the numerator by the whole number and keep the denominator the same.
What if the result is an improper fraction?
Improper fractions are valid, or you can convert them to mixed numbers if needed.
How do you convert the product to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder over the denominator is the fractional part.
Can you simplify the resulting fraction?
Yes, always check if the numerator and denominator have a common factor and divide both by it if possible.
Is multiplying fractions by whole numbers different from multiplying two fractions?
It's similar; you can express the whole number as a fraction over 1 and multiply as usual.
Math & reading from 1st to 9th grade
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