what is 13/50 as a decimal and percent
The correct answer and explanation is:
The fraction 1350\frac{13}{50} as a decimal and percent is calculated as follows:
Step 1: Convert the fraction to a decimal
To convert a fraction to a decimal, divide the numerator by the denominator. 1350=13÷50=0.26\frac{13}{50} = 13 \div 50 = 0.26
So, 1350\frac{13}{50} as a decimal is 0.26.
Step 2: Convert the decimal to a percentage
To convert a decimal to a percentage, multiply the decimal by 100 and add the percent sign (%). 0.26×100=26%0.26 \times 100 = 26\%
So, 1350\frac{13}{50} as a percentage is 26%.
Explanation in detail:
Fractions, decimals, and percentages are all different ways of expressing parts of a whole. Understanding how to convert between these forms is fundamental in math and real-world applications such as finance, statistics, and data analysis.
A fraction like 1350\frac{13}{50} means 13 parts out of 50 equal parts. When we divide 13 by 50, we are essentially finding out how many whole parts the fraction represents, expressed as a decimal number. The decimal form tells us the exact value in base-10 notation, which is easier for many calculations.
In this case, dividing 13 by 50 gives 0.26. This means that 1350\frac{13}{50} is equivalent to 0.26 of a whole.
Next, percentages are a way of expressing fractions or decimals with respect to 100. The word “percent” literally means “per hundred.” Multiplying the decimal by 100 converts it to a scale where the whole is 100 instead of 1.
Multiplying 0.26 by 100 results in 26, which means 1350\frac{13}{50} corresponds to 26 out of 100, or 26%.
This is useful in everyday life — for example, if you scored 13 out of 50 points on a test, you scored 26% of the total points.
To summarize:
- Fraction: 1350\frac{13}{50}
- Decimal: 0.26
- Percent: 26%
Understanding these conversions helps you interpret data and percentages in many fields, from finance to science to education.