Percentages, Fractions, and Decimals Master Study Guide

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Last updated 9:42 PM on 8/31/26
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8 Terms

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Percentage
A ratio, fraction, or amount expressed as a fraction of 100, derived from the Latin 'per centum', meaning 'by the hundred'. It is denoted by the symbol %.
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Fraction
A numerical quantity not a whole number, expressed as a ratio of two integers in the form a/b, with a as the numerator and b as the denominator, where b ≠ 0.
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Decimal
A number expressed in base-10 notation, utilizing a decimal point to separate the integer component from the fractional component.
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Converting Fractions to Decimals
Divide the numerator by the denominator using division, e.g., 3/8 = 0.375.
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Converting Decimals to Percentages
Multiply the decimal value by 100% or shift the decimal point two positions to the right, e.g., 0.425 x 100% = 42.5%.
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Calculating a Percentage of a Given Amount
Formula: Value = (p/100) x Total Amount, e.g., 15% of 240 = 36.
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Percentage Increase
Formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100%.
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Common Equivalence Reference Table
A table showing equivalent fractions, decimals, and percentages for easy reference.