explain to me why 56.25% is 9/16 as a fraction..
To convert a percentage to a fraction, you simply divide the percentage by 100 and reduce the fraction to its simplest form.
In this case, 56.25% is equivalent to 56.25/100. When simplified, the fraction becomes 9/16 because both the numerator and the denominator can be divided by 4, giving us 9/16.
explain it better
To convert a percentage to a fraction, you first write the percentage as a fraction by placing it over 100. For 56.25%, it becomes 56.25/100.
Next, you simplify the fraction by finding the greatest common factor (GCF) between the numerator and the denominator. In this case, the GCF of 56.25 and 100 is 25. To simplify, divide both the numerator and the denominator by 25:
56.25 ÷ 25 = 2.25
100 ÷ 25 = 4
This results in the simplified fraction 2.25/4. However, to convert it to a whole number fraction, we need to multiply both the numerator and the denominator by 4 to remove the decimal:
2.25 × 4 = 9
4 × 4 = 16
Therefore, 56.25% is equivalent to 9/16 when simplified.