$2 \frac{125}{100} =$
Answer (2)
Convert the fraction to a decimal: 100 125 = 1.25 .
Add the whole number and the decimal: 2 + 1.25 = 3.25 .
Convert the decimal to a simplified fraction: 3.25 = 100 325 = 4 13 .
Express as a mixed number: 4 13 = 3 4 1 .
The final answer is 3.25 .
Explanation
Understanding the Problem We are asked to simplify the mixed number 2 100 125 . This means we need to combine the whole number part (2) with the fraction part 100 125 and express the result in its simplest form.
Converting Fraction to Decimal First, let's convert the fraction 100 125 to a decimal. To do this, we divide 125 by 100, which gives us 1.25.
Adding Whole Number and Decimal Now, we add the whole number part (2) to the decimal we just found (1.25): 2 + 1.25 = 3.25
Converting Decimal to Simplified Fraction To express 3.25 as a fraction, we can write it as 100 325 . Now, we simplify this fraction by finding the greatest common divisor (GCD) of 325 and 100. The GCD of 325 and 100 is 25. So, we divide both the numerator and the denominator by 25: 100 ÷ 25 325 ÷ 25 = 4 13
Converting Improper Fraction to Mixed Number We can also express 4 13 as a mixed number. To do this, we divide 13 by 4. The quotient is 3 and the remainder is 1. So, the mixed number is 3 4 1 .
Final Answer Therefore, 2 100 125 = 3.25 = 4 13 = 3 4 1 .
Examples
Imagine you are baking a cake and the recipe calls for 2 4 1 cups of flour. However, your measuring cup only shows decimal values. Converting the mixed number to a decimal helps you measure the correct amount of flour, which is 2.25 cups. This ensures your cake turns out perfectly!
The expression 2 100 125 simplifies to 3.25, which can also be expressed as the mixed number 3 4 1 . This involves converting the fraction to decimal form and then combining it with the whole number. The final answer includes both decimal and mixed number representations.
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