Which value is equal to 1/4 of 1,360?
The Correct Answer and Explanation is :
To find the value that is equal to ( \frac{1}{4} ) of ( 1,360 ), you need to perform a simple multiplication. The calculation is as follows:
[
\frac{1}{4} \times 1,360 = 340
]
So, ( \frac{1}{4} ) of ( 1,360 ) is ( 340 ).
Answer is :340
Explanation
Step 1: Understanding Fractions
A fraction represents a part of a whole. In this case, ( \frac{1}{4} ) signifies one part out of four equal parts. When you multiply a whole number by a fraction, you’re effectively finding a portion of that whole number.
Step 2: Multiplying the Whole Number by the Fraction
To find ( \frac{1}{4} ) of ( 1,360 ), you multiply ( 1,360 ) by ( \frac{1}{4} ):
[
\frac{1}{4} \times 1,360 = \frac{1 \times 1,360}{4}
]
This simplifies to:
[
\frac{1,360}{4}
]
Step 3: Performing the Division
Now, you need to divide ( 1,360 ) by ( 4 ). This can be done through long division:
- Divide: ( 1,360 \div 4 = 340 ).
This means when you divide ( 1,360 ) into four equal parts, each part is ( 340 ).
Practical Applications
Understanding how to calculate a fraction of a whole is crucial in various real-life situations. For example, if you were dividing a pizza into four equal slices and you wanted to know how much pizza is in one slice when the whole pizza represents ( 1,360 ) grams, you would find that each slice weighs ( 340 ) grams. This calculation is essential in contexts like budgeting, cooking, and project management, where dividing resources or tasks into smaller, manageable parts is often necessary.
Thus, the value that equals ( \frac{1}{4} ) of ( 1,360 ) is indeed ( 340 ).