Convert Fraction to Percentage: Finding the Value of 50/204

Question

Approximately what is 50204 \frac{50}{204} written as a percentage?

Video Solution

Solution Steps

00:00 Convert approximately to percentages
00:03 Convert to the closest fraction that we can convert to percentages
00:14 Break down 200 into factors 50 and 4
00:22 Reduce what we can
00:28 Reduce what we can
00:32 Multiply the entire fraction by 100, and calculate the quotient
00:35 And this is the solution to the question

Step-by-Step Solution

Find the closest fraction so we can divide the numerator by the denominator:

50200 \frac{50}{200}

We break down the denominator into a multiplication exercise:

550×4 \frac{5}{50\times4}

We simplify:

14 \frac{1}{4}

We convert the fraction to a percentage:

14×100=1004= \frac{1}{4}\times100=\frac{100}{4}=

25% 25\%

Answer

25%