Fractions

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A fraction represents a part of a whole. It is written as a/b where 'a' is the numerator (parts we have) and 'b' is the denominator (total equal parts). For example, 3/4 means 3 out of 4 equal parts.

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In the fraction 5/8: Numerator = 5 (the top number, showing how many parts we have), Denominator = 8 (the bottom number, showing total equal parts)

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Equivalent fractions are different fractions that represent the same part of a whole. Example: 1/3 = 2/6 = 3/9 = 4/12. They all show the same amount but with different names.

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To create equivalent fractions, multiply both numerator and denominator by the same number: 2/5 = 4/10 (×2), = 6/15 (×3), = 8/20 (×4), = 10/25 (×5)

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3/4 = 12/16. To find this, we multiply both numerator and denominator by 4: (3×4)/(4×4) = 12/16

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When denominators are the same, compare the numerators. The fraction with the larger numerator is bigger. Example: 3/7 > 2/7 because 3 > 2.

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7/9 > 4/9. Since both fractions have the same denominator (9), we compare numerators: 7 > 4, so 7/9 is larger.

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When numerators are the same, compare the denominators. The fraction with the smaller denominator is bigger. Example: 3/4 > 3/5 because when you have the same number of parts, smaller parts mean large