Fraction computer

The calculator performs canonical and advanced operations with fractions, expressions with fractions one with integers, decimals, and mixed numbers. It as wel shows detailed step-aside-step information about the fraction calculation procedure. Lick problems with two, three, or more fractions and numbers in one expression.

Result:

1.5 - 1 1/5 = 3 / 10 = 0.3

Spelled resultant in wrangle is three tenths.

How do you solve fractions stepwise?

  1. Conversion a decimal bi to a fraction: 1.5 = 15 / 10 = 3 / 2

    a) Write down the quantitative 1.5 divided by 1: 1.5 = 1.5 / 1
    b) Procreate both apical and bottom by 10 for every bi after the percentage point. (For lesson, if on that point are two numbers after the decimal betoken, and so utilisation 100, if there are three then utilisation 1000, etc.)
    1.5 / 1 = 15 / 10
    Note: 15 / 10 is titled a decimal fraction.

    c) Simplify and reduce the divide
    15 / 10 = 3 * 5 / 2 * 5 = 3 * 5 / 2 * 5 = 3 / 2

  2. Conversion a mixed number 1 1 / 5 to a improper divide: 1 1/5 = 1 1 / 5 = 1 · 5 + 1 / 5 = 5 + 1 / 5 = 6 / 5

    To find a new numerator:
    a) Breed the integer 1 by the denominator 5. Whole number 1 equally 1 * 5 / 5 = 5 / 5
    b) Sum up the suffice from former step 5 to the numerator 1. New numerator is 5 + 1 = 6
    c) Indite a former answer (new numerator 6) ended the denominator 5.

    One and one fifth is six fifths

  3. Deduct: 1.5 - 6 / 5 = 3 / 2 - 6 / 5 = 3 · 5 / 2 · 5 - 6 · 2 / 5 · 2 = 15 / 10 - 12 / 10 = 15 - 12 / 10 = 3 / 10
    For adding, subtracting, and comparison fractions, it is right to line up some fractions to a common (equal, identical) denominator. The common denominator you terminate calculate as the least common multiple of both denominators - LCM(2, 5) = 10. In practice, it is enough to see the common denominator (non necessarily the lowest) aside multiplying the denominators: 2 × 5 = 10. In the following gray step, it cannot further simplify the fraction result past canceling.
    In other words - deuce-ac halfs minus six fifths = three tenths.

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 victimization mixed numbers, be sure to leave a single space between the all and divide persona.
The slash separates the numerator (number higher up a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) pen as integer separated past one space and fraction i.e., 1 2/3 (having the same sign). An example of a unfavourable mixed divide: -5 1/2.
Because slash is both signs for fraction contrast and section, we recommended use colon (:) arsenic the operator of division fractions i.e., 1/2 : 3.

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

The colon : and slash / is the symbolization of part. Can be accustomed divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An star * or × is the symbol for multiplication.
Plus + is addition, subtraction sign - is minus and ()[] is mathematical parentheses.
The exponentiation/might symbol is ^ - for good 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
• nonbearing Fractions: 1/2 : 3/4
• exponentiation of fraction: 3/5^3
• three-quarter-length exponents: 16 ^ 1/2
• adding fractions and mixed numbers: 8/5 + 6 2/7
• dividing integer and divide: 5 ÷ 1/2
• complex fractions: 5/8 : 2 2/3
• denary to divide: 0.625
• Divide to Denary: 1/4
• Fraction to Per centum: 1/8 %
• comparison fractions: 1/4 2/3
• multiplying a fraction aside a whole keep down: 6 * 3/4
• feather root of a fraction: sqrt(1/16)
• reducing or simplifying the divide (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent weight divide: 4/22
• expression with brackets: 1/3 * (1/2 - 3 3/8)
• compound fraction: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to breakthrough the quotient: 3/5 ÷ 2/3

The calculator follows well-familiar rules for order of trading operations. The most common mnemonics for remembering this order of trading 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, Times, Air division, Addition, Subtraction.
MDAS - Times and Division have the same precedence, over Gain and Subtraction. The MDAS harness is the order of operations that are a break u of the PEMDAS rule.
Be careful, always do multiplication and division before accession and subtraction. Some operators (+ and -) and (* and /) has the same antecedence and then must evaluate from left to right.

Fractions in word problems:

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