Convert 14 out of 90 to a Percentage: A Quick Calculation

Question

Calculate 14 over 90 as a percentage:

Video Solution

Solution Steps

00:00 Calculate 14 percent of 90
00:05 Convert from a percentage to a fraction, divide 14 by 90
00:09 Multiply by 100 to find the solution
00:17 Break down 90 into factors of 9 and 10
00:21 Break down 100 into factors of 10 and 10
00:25 Reduce wherever possible
00:41 This is the solution

Step-by-Step Solution

To solve the problem of converting 1490 \frac{14}{90} to a percentage, let's proceed as follows:

  • Step 1: Calculate 1490 \frac{14}{90} as a decimal.
  • Step 2: Multiply the decimal by 100 to convert it to a percentage.

Step 1: Divide 14 by 90 to obtain 1490=0.155555555... \frac{14}{90} = 0.155555555.... This is a repeating decimal indicated as 0.15 0.1\overline{5} .

Step 2: Convert this decimal to a percentage by multiplying by 100:
0.155555...×100=15.555... 0.155555... \times 100 = 15.555.... This represents the percentage as 15.555...% 15.555...\%.

Therefore, the fraction 1490 \frac{14}{90} as a percentage is 15.555...% 15.555... \%, which matches the choice labeled as "15.555...%".

Answer

15.555...%