Convert 58% to Its Equivalent Decimal and Fractional Forms

Question

The percentage 58% is equal to:

Video Solution

Solution Steps

00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:23 Break down 58 into factors of 29 and 2, and 100 into factors of 50 and 2
00:27 Reduce wherever possible
00:33 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage to a fraction.
  • Step 2: Simplify the fraction.
  • Step 3: Compare the simplified fraction with the choices provided.

Now, let's work through each step:
Step 1: We convert 58% to a fraction by expressing it as 58100 \frac{58}{100} .
Step 2: Next, we simplify 58100 \frac{58}{100} . The greatest common divisor (GCD) of 58 and 100 is 2. Dividing both the numerator and the denominator by 2 gives us:

58÷2100÷2=2950 \frac{58 \div 2}{100 \div 2} = \frac{29}{50}

This is the simplest form.

Step 3: Compare 2950 \frac{29}{50} with the choices provided. The correct choice is:

2950 \frac{29}{50}

Answer

2950 \frac{29}{50}