Calculator addition of three mixed numbers

Work with mixed fractions

The calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.

1 3/8 + 6 11/13 + 5 7/8 = 733 / 52 = 14 5 / 52 ≅ 14.0961538

Spelled result in words is fourteen and five fifty-seconds (or seven hundred thirty-three fifty-seconds).

Calculation steps

  1. Conversion a mixed number 1 3 / 8 to a improper fraction: 1 3/8 = 1 3 / 8 = 1 · 8 + 3 / 8 = 8 + 3 / 8 = 11 / 8

    To find a new numerator:
    a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8 / 8 = 8 / 8
    b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11
    c) Write a previous answer (new numerator 11) over the denominator 8.

    One and three eighths is eleven eighths

  2. Conversion a mixed number 6 11 / 13 to a improper fraction: 6 11/13 = 6 11 / 13 = 6 · 13 + 11 / 13 = 78 + 11 / 13 = 89 / 13

    To find a new numerator:
    a) Multiply the whole number 6 by the denominator 13. Whole number 6 equally 6 * 13 / 13 = 78 / 13
    b) Add the answer from previous step 78 to the numerator 11. New numerator is 78 + 11 = 89
    c) Write a previous answer (new numerator 89) over the denominator 13.

    Six and eleven thirteenths is eighty-nine thirteenths

  3. Add: 11 / 8 + 89 / 13 = 11 · 13 / 8 · 13 + 89 · 8 / 13 · 8 = 143 / 104 + 712 / 104 = 143 + 712 / 104 = 855 / 104
    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 13) = 104. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 13 = 104. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - eleven eighths plus eighty-nine thirteenths = eight hundred fifty-five one-hundred fourths.
  4. Conversion a mixed number 5 7 / 8 to a improper fraction: 5 7/8 = 5 7 / 8 = 5 · 8 + 7 / 8 = 40 + 7 / 8 = 47 / 8

    To find a new numerator:
    a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8 / 8 = 40 / 8
    b) Add the answer from previous step 40 to the numerator 7. New numerator is 40 + 7 = 47
    c) Write a previous answer (new numerator 47) over the denominator 8.

    Five and seven eighths is forty-seven eighths

  5. Add: the result of step No. 3 + 47 / 8 = 855 / 104 + 47 / 8 = 855 / 104 + 47 · 13 / 8 · 13 = 855 / 104 + 611 / 104 = 855 + 611 / 104 = 1466 / 104 = 2 · 733 / 2 · 52 = 733 / 52
    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(104, 8) = 104. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 104 × 8 = 832. In the following intermediate step, cancel by a common factor of 2 gives 733 / 52 .
    In other words - eight hundred fifty-five one-hundred fourths plus forty-seven eighths = seven hundred thirty-three fifty-seconds.

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