Calculator sum of two mixed numbers



This 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 3/4 + 2 3/8 = 33/8 = 4 1/8 = 4.125

Spelled result in words is four and one eighth (or thirty-three eighths).

Calculation steps

  1. Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

    To find a new numerator:
    a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
    b) Add the answer from previous step 4 to the numerator 3. New numerator is 4 + 3 = 7
    c) Write a previous answer (new numerator 7) over the denominator 4.

    One and three quarters is seven quarters
  2. Conversion a mixed number 2 3/8 to a improper fraction: 2 3/8 = 2 3/8 = 2 · 8 + 3/8 = 16 + 3/8 = 19/8

    To find a new numerator:
    a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8
    b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
    c) Write a previous answer (new numerator 19) over the denominator 8.

    Two and three eighths is nineteen eighths
  3. Add: 7/4 + 19/8 = 7 · 2/4 · 2 + 19/8 = 14/8 + 19/8 = 14 + 19/8 = 33/8
    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(4, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - seven quarters plus nineteen eighths = thirty-three eighths.