Calculator adding fractions and mixed numbers



The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. Also shows detailed step-by-step information about fraction calculation procedure. Solve problems with two, three or more fractions and numbers in one expression.

8/5 + 6 2/7 = 27635 = 73135 ≅ 7.8857143

Spelled result in words is two hundred seventy-six thirty-fifths (or seven and thirty-one thirty-fifths).

How do you solve fractions step by step?

  1. Conversion a mixed number 6 27 to a improper fraction: 6 2/7 = 6 27 = 6 · 7 + 27 = 42 + 27 = 447

    To find new numerator:
    a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 77 = 427
    b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
    c) Write previous answer (new numerator 44) over the denominator 7.

    Six and two sevenths is forty-four sevenths
  2. Add: 85 + 447 = 8 · 75 · 7 + 44 · 57 · 5 = 5635 + 22035 = 56 + 22035 = 27635
    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 the both denominators - LCM(5, 7) = 35. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 7 = 35. In the next intermediate step the fraction result cannot be further simplified by cancelling.
    In words - eight fifths plus forty-four sevenths = two hundred seventy-six thirty-fifths.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.


Fractions in word problems:

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  • Playing Cards
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  • Interior designer
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  • Adding mixed numerals
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  • Adding mixed 3
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  • Stock market 2
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  • Diophantus
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