Mixed number calculator

This calculator performs basic and advanced operations with mixed numbers, fractions, integers, and decimals. Mixed numbers are also called mixed fractions. A mixed number 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.

The result:

1/1.0e 22 = 1864712049423024128

The result spelled out in words is 1,864,712,049,423,024,128.

Calculation steps

Divide: 1 / 1 = 1/1 · 1/1 = 1 · 1/1 · 1 = 1/1 = 1
The first operand is an integer. It is equivalent to a fraction 1/1. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/1 is 1/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
In other words, one divided by one equals one.
Exponentiation: 10 ^ 22 = 10²²/1²² = 1.0E+22/1 = 1.0×10²²

In other words, ten raised to the power of to twenty-two equals 1,864,712,049,423,024,128.
Multiple: the result of step No. 1 * the result of step No. 2 = 1 * 1.0×10²² = 1 · 1864712049423024128/1 · 1 = 1864712049423024128/1 = 1864712049423024128
The first operand is an integer. It is equivalent to a fraction 1/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(1864712049423024128, 1) = 1.
In other words, one multiplied by 1,864,712,049,423,024,128 equals 1,864,712,049,423,024,128.

What is a mixed number?

A mixed number is an integer and fraction

a \frac{b}{c}

whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as

2 \frac{4}{5}

. Its value is

2 \frac{4}{5} = 2 + \frac{4}{5} = \frac{1 0}{5} + \frac{4}{5} = \frac{1 4}{5}

. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition:

2 \frac{4}{5} \neq = 2 \cdot \frac{4}{5}

. A negative mixed number - the minus sign also applies to the fractional

- 2 \frac{4}{5} = - (2 \frac{4}{5}) = - (2 + \frac{4}{5}) = - \frac{1 4}{5}

. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one 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 three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One piece when we ate, there were 14 pieces left, which is

2 \frac{4}{5}

of cake. When we eat two pieces,

2 \frac{3}{5}

of the cake remains.

Examples:

• sum of two mixed numbers: 1 3/4 + 2 3/8
• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8
• addition of two mixed numbers: 2 1/2 + 4 2/3
• 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
• What is 3/4 as a mixed number: 3/4
• subtracting mixed number and fraction: 1 3/5 - 5/6
• sum mixed number and an improper fraction: 1 3/5 + 11/5