Calculator multiplication of mixed numbers

3 3/4 * 2 2/5 = 91 = 9

Spelled result in words is nine.

Calculation steps

  1. Conversion a mixed number 3 34 to a improper fraction: 3 3/4 = 3 34 = 3 · 4 + 34 = 12 + 34 = 154

    To find new numerator:
    a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 44 = 124
    b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
    c) Write previous answer (new numerator 15) over the denominator 4.

    Three and three quarters is fifteen quarters
  2. Conversion a mixed number 2 25 to a improper fraction: 2 2/5 = 2 25 = 2 · 5 + 25 = 10 + 25 = 125

    To find new numerator:
    a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 55 = 105
    b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
    c) Write previous answer (new numerator 12) over the denominator 5.

    Two and two fifths is twelve fifths
  3. Multiple: 154 * 125 = 15 · 124 · 5 = 18020 = 9 · 201 · 20 = 9
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the next intermediate step cancelling by a common factor of 20 gives 91.
    In words - fifteen quarters multiplied by twelve fifths = nine.

Calculate next expression:



The calculator performs basic and advanced operations with mixed 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.

Examples:

addition of two mixed numbers: 2 1/2 + 4 2/3
addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8
subtracting two mixed numbers: 7 1/2 - 5 3/4
multiplication of mixed numbers: 3 3/4 * 2 2/5
comparing mixed numbers: 3 1/4 2 1/3
sum mixed number and an improper fraction: 1 3/5 + 11/5