difference between fractions and decimals [need proof]
Answers
Answer:
Both fractions and decimals are just two ways to represent numbers. Fractions are written in the form of p/q, where q≠0, while in decimals, the whole number part and fractional part are connected through a decimal point, for example, 0.5. Fractions and decimals represent the relationship of part by whole. In both fractions and decimals, we represent the whole by 1. Let us look at some examples to understand the relationship between fractions and decimals. Consider a full-thin crust pizza with 6 slices. Your mother gave half of it, i.e., 3 slices then in fractional form, we write it as 1/2, and in the decimal form, we write it as 0.5.
Let us consider another example. Emma divides her garden into 12 equal parts. She grows flowers of different colors in each part of the garden. Amongst the 12 slots, she reserved 8 equal portions for red flowers, 2 portions for yellow color flowers, and 2 for blue color flowers. Let us write the portion given to flowers of each color in fraction and in decimal.
Red flowers are grown in the 8/12 or 0.666 part of the garden.
Yellow flowers are grown in the 2/12 or 0.1666 part of the garden.
Blue flowers are also grown in the 2/12 or 0.1666 part of the garden.
Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fractions and decimals relationship
Answer:
Fractions and decimals represent the same thing in different ways. While a fraction merely represents a division operation between two quantities (ratio), a decimal represents the full result of that division operation or can even represent more abstract quantities. For example, 1/2 is a fraction while 0.5 is a decimal.
Irrational numbers can be written as decimals but not as fractions, like π.