A quarter of something means dividing that quantity into four equal parts and taking one of those parts. It is one of the fundamental fractions we use in mathematics and everyday life. A quarter is equivalent to the fraction 14\frac{1}{4}41 or the decimal 0.250.250.25, representing 25%25\%25% of the whole.
When we talk about finding a quarter of a number, we are essentially dividing that number by 444. Understanding quarters helps build foundations for working with fractions, percentages, and proportional reasoning in mathematics. Quarters are frequently encountered in time (quarter hour), money (quarter dollar), and many measurement contexts.
Examples of Quarter Of Example 1: Finding a Quarter of a Number Problem:Find a quarter of 202020.
Step-by-step solution:Step 1, Understand that finding a quarter of a number means dividing it by 444.
Step 2, Write this as a mathematical operation.
14×20\frac{1}{4} \times 2041×20Step 3, Perform the division.
14×20=204=5\frac{1}{4} \times 20 = \frac{20}{4} = 541×20=420=5Step 4, Therefore, a quarter of 202020 is 555.
Example 2: Finding a Quarter in a Real-World Context Problem:If a pizza costs $16\$16$16, how much would a quarter of the pizza cost?
Step-by-step solution:Step 1, Identify that we need to find a quarter of $16\$16$16.
Step 2, To find a quarter, divide the amount by 444.
14×$16=$16÷4\frac{1}{4} \times \$16 = \$16 \div 441×$16=$16÷4Step 3, Perform the calculation.
$16÷4=$4\$16 \div 4 = \$4$16÷4=$4Step 4, Therefore, a quarter of the pizza costs $4\$4$4.
Example 3: Converting Quarters to Other Representations Problem:Express three-quarters of an hour in minutes.
Step-by-step solution:Step 1, First, find what one quarter of an hour equals in minutes. There are 606060 minutes in an hour.
14×60=60÷4=15\frac{1}{4} \times 60 = 60 \div 4 = 1541×60=60÷4=15 minutesStep 2, Since we need three quarters, multiply the result by 333.
3×15=453 \times 15 = 453×15=45 minutesStep 3, Therefore, three-quarters of an hour equals 454545 minutes.
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