Mixed fractions calculator



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.

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.

Result:

3/4 + 2/3 = 17/12 = 1 5/121.4166667

Spelled result in words is one and five twelfths (or seventeen twelfths).

Calculation steps

  1. Add: 3/4 + 2/3 = 3 · 3/4 · 3 + 2 · 4/3 · 4 = 9/12 + 8/12 = 9 + 8/12 = 17/12
    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, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.
    In words - three quarters plus two thirds = seventeen twelfths.


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
changing improper fraction to mixed number: 9/4
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

Mixed fractions in word problems:

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  • Donuts 3
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  • Apples 14
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  • Jack planted
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  • Adding mixed numbers
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