📝 Fractions Class 6
Proper Fraction
➤ A fraction whose numerator is less than its denominator is called a proper fraction.
Examples
`2/3, 5/8, 11/17`, etc.
Improper Fraction
➤ A fraction whose numerator is greater than or equal to its denominator is called an improper fraction.
`5/4, 3/2, 25/7,10/10`, etc.
Mixed Fraction
➤ A combination of a whole number and a proper fraction is called a mixed fraction.
Examples
`2frac{1}{3}, 3frac{2}{5}, 4frac{5}{7}`, etc.
Convert a mixed fraction into an improper fraction
Mixed fraction = whole number + proper fraction
(i) `2frac{3}{5} = 2 + 3/5 = frac{2 × 5 + 3}{5} = 13/5`
(ii) `3frac{4}{7} = 3 + 4/7 = frac{3 × 7 + 4}{7} = 25/7`
Convert an improper fraction into a mixed fraction
`29/8` or 29 ÷ 8
Quotient = 3 and remainder = 5
`therefore 29/8 = 3 + 5/8 = 3 frac{5}{8}`
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