Convert to decimal form then a percent: a. \frac{13}{50} = b.
The Correct Answer and Explanation is:
To convert the fraction 1350\frac{13}{50}5013 into decimal form and then into a percent, we follow two steps:
Step 1: Convert the fraction to decimal
To convert 1350\frac{13}{50}5013 into a decimal, we perform the division:13÷50=0.2613 \div 50 = 0.2613÷50=0.26
This gives us the decimal form of the fraction.
Step 2: Convert the decimal to a percent
To convert a decimal into a percent, we multiply the decimal by 100 and add the percent symbol (%):0.26×100=26%0.26 \times 100 = 26\%0.26×100=26%
Thus, 1350\frac{13}{50}5013 as a decimal is 0.26, and as a percent, it is 26%.
Explanation:
Converting a fraction to a decimal is done by dividing the numerator by the denominator. In this case, dividing 13 by 50 gives us the decimal 0.26. Once we have the decimal form, converting it into a percentage involves multiplying the decimal by 100 to express the value as a part of 100. This is a standard method to change a decimal into a percentage.
When you express numbers as percentages, it gives a clearer sense of how much a number represents out of 100, which is often helpful in real-world applications like statistics, finance, and even grades.
So, in summary:
- 1350=0.26\frac{13}{50} = 0.265013=0.26
- 0.26=26%0.26 = 26\%0.26=26%
This approach is fundamental when dealing with ratios and percentages in everyday math, making it easier to visualize and understand fractional quantities.
