Convert 126% to a mixed number
126% = 1.26 = 1 26/100 = 1 13/50
To convert a percentage to a mixed number, you need to divide the percentage by 100. Here's how you can do it:
Step 1: Divide the given percentage by 100.
126% ÷ 100 = 1.26
Step 2: Write the resulting decimal as a mixed number.
Since the decimal 1.26 can be written as a whole number plus a fraction, we can convert it to a mixed number. To do this, we need to determine the whole number and fraction separately.
The whole number is the number before the decimal point, which is 1.
The fraction is the decimal part, which is 0.26.
Step 3: Convert the fraction to its simplest form.
To convert the decimal fraction 0.26 to its simplest form, multiply both the numerator and denominator by 100 (to remove the decimal point).
0.26 × 100 = 26
Thus, the fraction part is 26/100.
Step 4: Write the mixed number combining the whole number and fraction.
Putting it all together, the mixed number is:
1 + 26/100
Simplifying further, we can reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
1 + 26/100 = 1 + (26 ÷ 2) / (100 ÷ 2) = 1 + 13/50
Therefore, 126% can be expressed as the mixed number 1 13/50.