Convert Fraction to Percentage: Finding 6/25 as a Percent

Question

Approximately what is 625 \frac{6}{25} as a percentage?

Video Solution

Solution Steps

00:00 Convert approximately to percentages
00:03 We'll convert to the closest fraction that we can convert to percentages
00:16 Let's break down 25 into factors 5 and 5
00:21 We'll reduce what we can
00:26 This is the simple fraction, now let's convert to percentages
00:31 We'll multiply the entire fraction by 100, and calculate the quotient
00:37 And this is the solution to the question

Step-by-Step Solution

We look for the closest fraction to be able to divide the numerator by the denominator:

525 \frac{5}{25}

We break down the denominator into a multiplication exercise:

55×5 \frac{5}{5\times5}

We simplify:

15 \frac{1}{5}

We convert the fraction into a percentage

15×100=1005= \frac{1}{5}\times100=\frac{100}{5}=

20% 20\%

Answer

20%