100% What is the sum of 1/2 and 0.75
The Correct Answer and Explanation is:
Correct Answer:
The sum of 12\frac{1}{2} and 0.75 is: 12+0.75=0.5+0.75=1.25\frac{1}{2} + 0.75 = 0.5 + 0.75 = 1.25
Detailed Explanation
To add 12\frac{1}{2} and 0.75, we first need to understand the two numbers and bring them into the same form—either both fractions or both decimals. Let’s explore both methods.
Method 1: Convert Fraction to Decimal
We know that: 12=0.5\frac{1}{2} = 0.5
Now that both numbers are in decimal form: 0.5+0.75=1.250.5 + 0.75 = 1.25
Method 2: Convert Decimal to Fraction
We can also convert 0.75 into a fraction: 0.75=751000.75 = \frac{75}{100}
Simplify by dividing numerator and denominator by 25: 75÷25100÷25=34\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
Now add: 12+34\frac{1}{2} + \frac{3}{4}
To add fractions, they must have the same denominator. The least common denominator (LCD) of 2 and 4 is 4.
Convert 12\frac{1}{2} to have a denominator of 4: 12=24\frac{1}{2} = \frac{2}{4}
Now add: 24+34=54\frac{2}{4} + \frac{3}{4} = \frac{5}{4}
Convert 54\frac{5}{4} to a decimal: 54=1.25\frac{5}{4} = 1.25
Conclusion:
No matter which method you use—converting to decimals or working with fractions—the result is the same: 1.25.
This example illustrates the flexibility of math: we can approach a problem in multiple ways and still arrive at the same correct solution. It’s also a great reminder that understanding both fractions and decimals is important, especially since they appear frequently in everyday life such as in money, measurements, and data.
