Fractions, Decimals and Percentages

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What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

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What is a decimal?

Back

A decimal is a way of expressing fractions in a base 10 system, using a point to separate the whole number from the fractional part. For example, 0.5 represents 5 tenths.

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What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

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How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) × 100 = 25%.

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How do you convert a decimal to a percentage?

Back

To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.75 = 0.75 × 100 = 75%.

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How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% = 25 ÷ 100 = 0.25.

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What is the relationship between fractions, decimals, and percentages?

Back

Fractions, decimals, and percentages are different ways to represent the same value. They can be converted into one another.

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What is the greatest common factor (GCF)?

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The GCF is the largest number that divides two or more numbers without leaving a remainder. It is useful for simplifying fractions.

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What is the least common multiple (LCM)?

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The LCM is the smallest number that is a multiple of two or more numbers. It is useful for finding common denominators.

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How do you add fractions with different denominators?

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To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.