Calculate a Fractional Part of a Whole
To calculate a fractional part of a whole, multiply the fraction by the whole number: Part equals Fraction times Whole. The word of in fraction word problems signals multiplication. This Grade 5 math skill from Eureka Math Chapter 23 covers multiplication of a fraction by a fraction in practical contexts.
Key Concepts
To find a fractional part of a whole number, you multiply the fraction by the whole. This relationship can be expressed as: $$ \text{Part} = \text{Fraction} \times \text{Whole} $$.
Common Questions
How do you find a fractional part of a whole?
Multiply the fraction by the whole number. For example, to find 3/4 of 28 students, calculate 3/4 times 28 equals 84/4 equals 21 students.
What does the word of mean in fraction word problems?
In fraction word problems, the word of signals multiplication. So 2/3 of 12 ounces means 2/3 times 12.
What is an example of finding a fractional part?
A recipe requires 2/3 of a 12-ounce bag of chocolate chips. Calculate 2/3 times 12 equals 24/3 equals 8 ounces needed.
Why is finding a fractional part an important skill?
This skill is foundational for multi-step fraction problems, proportional reasoning, and real-world applications like cooking, budgeting, and measurement.