Fraction, Decimal, Percentage and Ratio – “खरिदार विशेष”

Fractions, decimals, percentages, and ratios are fundamental mathematical concepts that are used to represent and compare parts of a whole or proportions. Here’s an explanation of each of these concepts:

1. Fraction:
– A fraction represents a part of a whole. It consists of two numbers: a numerator and a denominator, separated by a horizontal line or a slash. The numerator represents the part you have, while the denominator represents the total number of equal parts the whole is divided into.
– Fraction example: 3/4, where 3 is the numerator (part you have) and 4 is the denominator (total parts). It means you have 3 out of 4 equal parts.

2. Decimal:
– A decimal is a way to represent fractions and real numbers using a base-10 numbering system. In a decimal, the whole is divided into powers of 10, and each place value is a multiple of a power of 10.
– Decimal example: 0.75, where the whole is divided into tenths (0.1), and 0.75 represents 75 hundredths or 75/100.

3. Percentage:
– A percentage is a way to represent a fraction as a portion of 100. Percentages are often denoted using the “%” symbol.
– Percentage example: 75%, which is equivalent to the fraction 75/100 or the decimal 0.75. It represents 75 parts per 100, which is the same as 75 hundredths.

4. Ratio:
– A ratio is a way of comparing two quantities by expressing their relationship as a fraction, often without simplifying it to its simplest form. Ratios are used to compare quantities, often in the context of proportions or relationships between values.
– Ratio example: 2:5, which means that for every 2 of one thing, there are 5 of another. Ratios can be used to compare any two quantities, such as ingredients in a recipe or sides of a rectangle.

To summarize, fractions represent parts of a whole, decimals are a base-10 representation of fractions and real numbers, percentages express parts of 100 as a way to make comparisons, and ratios are used to compare two quantities often without simplifying to their simplest form. These concepts are essential in mathematics and are frequently used in various real-world applications, from cooking to finance to scientific calculations.