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  2. Fraction calculator

    Showing results for . Did you mean ?
    7 over 4
    =
    1 and 3 over 4
    =
    1.75
    Result
    7 over 4 equals 1 and 3 over 4 equals 1.75

    Step by step

    1. Step 1 of 2: Add.
      • 1 and 1 over 4 + 3 over 6 = 21 over 12
      1. Step 1 of 2: Add, 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: Add, sub-step b: Find common denominator.
        • 5 over 4 + 3 over 6 = ( 5 × 3 ) over ( 4 × 3 ) + ( 3 × 2 ) over ( 6 × 2 ) = 15 over 12 + 6 over 12
        • 12 is the least common multiple of denominators 4 and 6. Use it to convert to equivalent fractions with this common denominator.
      3. Step 1 of 2: Add, sub-step c: Add.
        • 15 over 12 + 6 over 12 = ( 15 + 6 ) over 12 = 21 over 12
    2. Step 2 of 2: Simplify.
      • 21 over 12 = 7 over 4 = 1 and 3 over 4
      1. Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
        • 21 over 12 = ( 21 ÷ 3 ) over ( 12 ÷ 3 ) = 7 over 4
        • 3 is the greatest common divisor of 21 and 12. Reduce by dividing both numerator and denominator by 3.
      2. Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
        • 7 over 4 = 1 and 3 over 4
        • 7 ÷ 4 = 1 remainder 3

    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
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