Converting Fraction 7/15 to Percentage: Step-by-Step Solution

Question

Write the fraction 715 \frac{7}{15} as a percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 Multiply by 100 to convert to a percentage
00:15 Break down 15 into factors of 5 and 3, and 100 into factors of 5 and 20
00:25 Simplify wherever possible
00:30 Move the multiplication to the numerator
00:42 This is the solution

Step-by-Step Solution

To solve this problem, we need to convert the fraction 715\frac{7}{15} into a percentage. We will do this by multiplying the fraction by 100. The process is as follows:

  • Step 1: Start with the fraction 715\frac{7}{15}.
  • Step 2: Convert the fraction to a percentage by using the formula: (715)×100(\frac{7}{15}) \times 100.

Now, let's perform the calculation:

715×100=70015\frac{7}{15} \times 100 = \frac{700}{15}

Next, divide 700 by 15 to get the percentage:

700÷15=46.6667 700 \div 15 = 46.6667\ldots

For a percentage, we typically round to two decimal places, so we round 46.6667 to 46.67%. Thus, the fraction 715\frac{7}{15} expressed as a percentage is approximately 46.67%.

Therefore, the solution to the problem is 46.67%.

Answer

46.66%