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  2. Fraction division calculator

    Showing results for . Did you mean ?
    5 over 2
    =
    2 and 1 over 2
    =
    2.5

    Step by step

    1. Step 1 of 2: Divide.
      • 1 and 1 over 4 ÷ 3 over 6 = 30 over 12
      1. Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
        • 1 and 1 over 4 = ( 1 × 4 ) over 4 + 1 over 4 = ( 4 + 1 ) over 4 = 5 over 4
      2. Step 1 of 2: Divide, sub-step b: Divide.
        • 5 over 4 ÷ 3 over 6 = 5 over 4 × 6 over 3 = ( 5 × 6 ) over ( 4 × 3 ) = 30 over 12
        • To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
    2. Step 2 of 2: Simplify.
      • 30 over 12 = 5 over 2 = 2 and 1 over 2
      1. Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
        • 30 over 12 = ( 30 ÷ 6 ) over ( 12 ÷ 6 ) = 5 over 2
        • 6 is the greatest common divisor of 30 and 12. Reduce by dividing both numerator and denominator by 6.
      2. Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
        • 5 over 2 = 2 and 1 over 2
        • 5 ÷ 2 = 2 remainder 1

    Addition

    A over B + C over D = (A×D + B×C) over B×D

    Subtraction

    A over B C over D = (A×D − B×C) over B×D

    Multiplication

    A over B × C over D = A×C over B×D

    Division

    A over B ÷ C over D = A×D over B×C
    Hide formulas
     
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    This comprehensive collection of dividing fractions worksheets covers dividing mixed and improper fractions, division by wholes and many other specific practice areas. All printable PDF files have complete answer keys!

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    how to divide fractions by fractions. find factors to cancel before multiplying. free online math worksheets. Printable (pdf) and online. examples and step by step solutions, Grade 5, 5th Grade, Grade 6, 6th Grade.

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