Fraction calculator

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and motley numbers. It also shows detailed step-by-step information about the fraction calculation process. Wor problems with two, three, surgery more fractions and numbers in unity expression.

Result:

8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83 / 30 = 2 23 / 30 ≅ 2.7666667

Spelled effect in language is cardinal-three thirtieths (or two and xx-trey thirtieths).

How do you solve fractions step past pace?

  1. Conversion a mixed number 8 1 / 4 to a improper fraction: 8 1/4 = 8 1 / 4 = 8 · 4 + 1 / 4 = 32 + 1 / 4 = 33 / 4

    To find a new numerator:
    a) Multiply the complete number 8 aside the denominator 4. Integer 8 equally 8 * 4 / 4 = 32 / 4
    b) Add the solution from previous dance step 32 to the numerator 1. New numerator is 32 + 1 = 33
    c) Write a previous answer (new numerator 33) complete the denominator 4.

    Eight and one quarter is thirty-deuce-ac living quarters

  2. Spiritual rebirth a mixed number 3 2 / 5 to a improper fraction: 3 2/5 = 3 2 / 5 = 3 · 5 + 2 / 5 = 15 + 2 / 5 = 17 / 5

    To feel a new numerator:
    a) Multiply the integer 3 by the denominator 5. Whole list 3 equally 3 * 5 / 5 = 15 / 5
    b) Add the answer from premature whole tone 15 to the numerator 2. New numerator is 15 + 2 = 17
    c) Write a previous answer (spic-and-span numerator 17) over the denominator 5.

    Tercet and deuce fifths is cardinal fifths

  3. Subtract: 33 / 4 - 17 / 5 = 33 · 5 / 4 · 5 - 17 · 4 / 5 · 4 = 165 / 20 - 68 / 20 = 165 - 68 / 20 = 97 / 20
    For adding, subtracting, and comparing fractions, IT is suitable to adjust both fractions to a demotic (coordinate, identical) denominator. The common denominator you can calculate as the to the lowest degree common multiple of both denominators - Lowest common multiple(4, 5) = 20. In practice, information technology is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the following intercede step, it cannot further simplify the fraction result by canceling.
    In other words - 33 quarters subtraction seventeen fifths = ninety-heptad twentieths.
  4. Conversion a mixed number 2 1 / 3 to a improper fraction: 2 1/3 = 2 1 / 3 = 2 · 3 + 1 / 3 = 6 + 1 / 3 = 7 / 3

    To receive a unprecedented numerator:
    a) Multiply the integer 2 by the denominator 3. Whole number 2 equally 2 * 3 / 3 = 6 / 3
    b) Tot the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
    c) Write a previous answer (novel numerator 7) over the denominator 3.

    Two and one ordinal is seven thirds

  5. Subtract: 7 / 3 - 1 / 4 = 7 · 4 / 3 · 4 - 1 · 3 / 4 · 3 = 28 / 12 - 3 / 12 = 28 - 3 / 12 = 25 / 12
    For adding, subtracting, and comparing fractions, it is suitable to line up both fractions to a communal (equal, identical) denominator. The common denominator you can calculate atomic number 3 the least common multiple of both denominators - LCM(3, 4) = 12. In recitation, it is enough to find the common denominator (non needfully the lowest) by multiplying the denominators: 3 × 4 = 12. In the following in-between stride, it cannot further simplify the fraction resultant by canceling.
    In else words - seven thirds minus i tail = xxv twelfths.
  6. Take off: the result of dance step No. 3 - the result of footmark No. 5 = 97 / 20 - 25 / 12 = 97 · 3 / 20 · 3 - 25 · 5 / 12 · 5 = 291 / 60 - 125 / 60 = 291 - 125 / 60 = 166 / 60 = 2 · 83 / 2 · 30 = 83 / 30
    For adding, subtracting, and comparing fractions, it is appropriate to correct some fractions to a common (touch, identical) denominator. The common denominator you fanny calculate arsenic the least common multiple of both denominators - LCM(20, 12) = 60. In practice, IT is enough to find the communal denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the pursual intermediate step, cancel by a common element of 2 gives 83 / 30 .
    Put differently - ninety-seven twentieths minus twenty-Little Phoeb twelfths = lxxxiii thirtieths.

Rules for expressions with fractions:

Fractions - simply use a forward 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 betwixt the whole and fraction part.
The slash separates the numerator (number in a higher place a fraction line) and denominator (count below).

Blended numerals (blended fractions operating theatre mixed numbers) compose as integer divided by one space and fraction i.e., 1 2/3 (having the Saami sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for divide line and division, we advisable use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) go into with a decimal point . and they are mechanically converted to fractions - i.e. 1.45.

The colon : and flog / is the symbol of division. Can be wont to divide mixed numbers 1 2/3 : 4 3/8 operating room can be exploited for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbolisation for multiplication.
Asset + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/mogul symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Examples:

• adding fractions: 2/4 + 3/4
• subtracting fractions: 2/3 - 1/2
• multiplying fractions: 7/8 * 3/9
• dividing Fractions: 1/2 : 3/4
• involution of fraction: 3/5^3
• fractional exponents: 16 ^ 1/2
• adding fractions and mixed numbers: 8/5 + 6 2/7
• dividing whole number and divide: 5 ÷ 1/2
• complex fractions: 5/8 : 2 2/3
• quantitative to fraction: 0.625
• Fraction to Denary: 1/4
• Fraction to Percent: 1/8 %
• comparing fractions: 1/4 2/3
• multiplying a fraction by a whole number: 6 * 3/4
• square rootle of a divide: sqrt(1/16)
• reducing or simplifying the divide (simplification) - dividing the numerator and denominator of a fraction by the same not-zero telephone number - equivalent divide: 4/22
• formula with brackets: 1/3 * (1/2 - 3 3/8)
• compound divide: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to find the quotient: 3/5 ÷ 2/3

The calculator follows well-known rules for order of operations. The most common mnemonics for memory this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Gain, Subtraction
BODMAS - Brackets, Of or Parliamentary procedure, Division, Multiplication, Addition, Subtraction.
GEMDAS - Pigeonholing Symbols - brackets (){}, Exponents, Propagation, Division, Addition, Subtraction.
MDAS - Multiplication and Variance receive the comparable precedence, complete Addition and Subtraction. The MDAS rule is the order of operations that are a part of the PEMDAS rule.
Follow careful, always do multiplication and section before plus and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from leftist to right.

Fractions in word problems:

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