Mixed number calculator

This calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed numbers are also chosen mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. one and three-quarters. The estimator evaluates the expression or solves the equation with pace-by-step adding progress information. Solve problems with 2 or more mixed numbers fractions in i expression.

The result:

3 3/four * 2 2/5 = nine / ane = 9

Spelled result in words is ix.

Calculation steps

  1. Conversion a mixed number iii iii / iv to a improper fraction: 3 three/4 = 3 3 / 4 = iii · iv + 3 / 4 = 12 + iii / 4 = xv / 4

    To detect a new numerator:
    a) Multiply the whole number 3 by the denominator four. 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 + iii = 15
    c) Write a previous answer (new numerator 15) over the denominator 4.

    Iii and iii quarters is 15 quarters

  2. Conversion a mixed number 2 2 / 5 to a improper fraction: 2 2/5 = ii 2 / 5 = ii · 5 + 2 / 5 = 10 + 2 / 5 = 12 / v

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

    Two and two fifths is twelve fifths

  3. Multiple: xv / 4 * 12 / 5 = 15 · 12 / four · 5 = 180 / 20 = 9 · 20 / 1 · 20 = nine
    Multiply both numerators and denominators. Result fraction continue to lowest possible denominator GCD(180, 20) = xx. In the following intermediate stride, cancel past a common factor of twenty gives 9 / i .
    In other words - xv quarters multiplied by twelve fifths is nine.

What is a mixed number?

A mixed number is an integer and fraction a c b ​ whose value equals the sum of that integer and fraction. For example, we write 2 and four-fifths as two 5 iv ​ . Its value is: 2 v iv ​ = 2 + 5 4 ​ = v 1 0 ​ + 5 4 ​ = 5 i 4 ​ . The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication merely an add-on: ii 5 4 ​ ​ = 2 ⋅ 5 four ​ . A negative mixed number - the minus sign also applies to the fractional − 2 5 4 ​ = − ( 2 5 4 ​ ) = − ( two + 5 4 ​ ) = − 5 one 4 ​ . A mixed number is sometimes chosen a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, ane where the numerator is greater than the denominator.

How do I imagine a mixed number?

We can imagine mixed numbers in the example of cakes. We have 3 cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One-piece when we eat, at that place are 14 pieces left, which is 2 5 four ​ of cake. When nosotros swallow two pieces, 2 5 3 ​ of cake remains.