What is 3/4 of 40= fractions
The Correct Answer and Explanation is :
To calculate 3/4 of 40, we simply multiply 40 by 3/4.
Calculation:
[
\frac{3}{4} \times 40 = \frac{3 \times 40}{4} = \frac{120}{4} = 30
]
So, 3/4 of 40 equals 30.
Explanation:
When we talk about “3/4 of 40,” we are essentially finding three parts out of a total of four equal parts of the number 40. To break it down:
- Understanding Fractions: A fraction represents a division of a whole. The fraction 3/4 means that something is divided into 4 equal parts, and we are taking 3 of those parts. The numerator (3) tells us how many parts we are considering, while the denominator (4) tells us how many equal parts the whole is divided into.
- Step-by-Step Process:
- First, divide 40 by 4. This gives us the size of one part.
[
\frac{40}{4} = 10
]
So, each of the 4 equal parts is 10. - Now, take 3 of those parts. Since each part is 10, multiplying 10 by 3 gives us:
[
3 \times 10 = 30
]
Therefore, 3/4 of 40 is 30.
- First, divide 40 by 4. This gives us the size of one part.
- Why It Works: Fractions represent a portion of a whole. When you calculate 3/4 of a number, you are finding what part of that number corresponds to the fraction. Multiplying the whole number by the fraction helps determine how much of the total number is represented by that fraction.
This method is useful for many real-life situations, such as dividing resources, recipes, or other things that need to be broken into fractional parts.