Why does dividing the numerator by the denominator result in an equivalen decimal?
Decimals and fractions are ways to express non-whole numbers. Basically they tell the value of one amount versus the value of another amount: 3/5 of the apples are green. The 3/5 means that 3 apples are green and the rest, 2/5, are not green. 3/20 of the children are tall. The 3/20 means that 2 children are tall, and the rest, 17/20, are not tall. The decimal system is used to make everything based out of 100. However, not all amounts of things are compared to values of 100. The examples above show a certain value of apples out of 5 total apples, and also a certain number of children out of 20 total children. However, a fraction can be converted into a decimal by multiplying both the numerator and denominator by a certain value that turns the denominator into 100, and therefore the numerator would be the decimal: 2/5 can be converted into (numerator)/100 by multiplying the fraction by 20/20. When multiplying across, you get 40/100. Now that the denominator is 100, the numerator is a ce
