Convert Fraction to Percentage: Solving 8/35 Step by Step

Question

Write the fraction 835 \frac{8}{35} as a percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 Multiply the fraction by 100 in order to convert to a percentage
00:11 Factor 35 into 7 and 5, and 100 into 20 and 5
00:17 Simplify wherever possible
00:32 This is the solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 835 \frac{8}{35} into a percentage by multiplying it by 100.

  • Step 1: Multiply the fraction by 100 to convert it to a percentage.
    This gives us:

835×100% \frac{8}{35} \times 100\%

We now perform the actual multiplication:

  • Calculate 8×10035\frac{8 \times 100}{35}.
  • This equals 80035\frac{800}{35}.
  • Divide 800 by 35 to simplify the result:

800÷3522.8571 800 \div 35 \approx 22.8571

We round this to two decimal places to get an approximate percentage:

  • The result is approximately 22.85%22.85\%.

Thus, the fraction 835 \frac{8}{35} as a percentage is 22.85%.

Answer

22.85%