Calculator multiplication of mixed numbers



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.

3 3/4 * 2 2/5 = 9/1 = 9

Spelled result in words is nine.

Calculation steps

  1. Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4 = 3 · 4 + 3/4 = 12 + 3/4 = 15/4

    To find a new numerator:
    a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/4 = 12/4
    b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
    c) Write a previous answer (new numerator 15) over the denominator 4.

    Three and three quarters is fifteen quarters
  2. Conversion a mixed number 2 2/5 to a improper fraction: 2 2/5 = 2 2/5 = 2 · 5 + 2/5 = 10 + 2/5 = 12/5

    To find a new numerator:
    a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5
    b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
    c) Write a previous answer (new numerator 12) over the denominator 5.

    Two and two fifths is twelve fifths
  3. Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20 = 9 · 20/1 · 20 = 9
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/1.
    In other words - fifteen quarters multiplied by twelve fifths = nine.

Mixed fractions in word problems:



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