Understanding the Relationship Between Fractions, Decimals, and Percentages | Explained with Examples

3/4, 0.75 or 75%

The expression 3/4, the decimal notation 0

The expression 3/4, the decimal notation 0.75, and the percentage 75% all represent the same value, which is three-fourths or three divided by four.

Fraction: When written as 3/4, it represents a fraction. Fractions are used to represent a part of a whole. In this case, the numerator (3) represents the number of parts being considered, and the denominator (4) represents the total number of equal parts that make up the whole.

Decimal: When written as 0.75, it represents a decimal number. Decimals are another way to express fractions. In this case, the number to the left of the decimal point (0) represents no whole units, and the two digits to the right (75) represent the fraction.

Percentage: When written as 75%, it represents a portion of 100. Percentages are a way to express fractions out of 100. In this case, 75% means 75 out of 100. It can be thought of as dividing the numerator (75) by the denominator (100) and then multiplying by 100 to get the percentage.

To convert any of these forms to another, some simple calculations can be done:

– To convert a fraction to a decimal, divide the numerator by the denominator. A fraction like 3/4 would be 3 divided by 4, which equals 0.75.

– To convert a decimal to a fraction, write the decimal number as the numerator and the appropriate power of ten as the denominator. For example, 0.75 can be expressed as 75/100. Simplifying this fraction would yield 3/4.

– To convert a fraction or decimal to a percentage, multiply by 100. For example, if you have 0.75, multiplying by 100 gives you 75%. Similarly, if you have 3/4, multiplying by 100 gives you 75%.

These different representations of the same value can be used interchangeably depending on the context or preference.

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