Contents

  • 1 Fraction calculator
  • 2 The event:
    • 2.1 seven – v/eight = 51 / 8 = 6 iii / eight = 6.375
    • two.two How do nosotros solve fractions step by stride?
      • 2.2.1 Rules for expressions with fractions:
    • 2.3 Math Symbols
  • 3 Fractions in word issues:
    • iii.ane What is 5 Divided past 7/8

Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed footstep-past-step information nearly the fraction adding procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in i expression.

The result:

7
–
5/eight =

51
/
viii

=
6

3
/
8


=
half-dozen.375

Spelled outcome in words is l-i eighths (or six and iii eighths).

How exercise we solve fractions step by step?

  1. Subtract: 7 –

    five
    /
    8

    =

    seven
    /
    1

    –

    5
    /
    8

    =

    7 · 8
    /
    1 · eight

    –

    five
    /
    8

    =

    56
    /
    8

    –

    5
    /
    eight

    =

    56 – 5
    /
    8

    =


    51
    /
    eight

    It is suitable to accommodate both fractions to a mutual (equal, identical) denominator for adding, subtracting, and comparing fractions. The mutual denominator you can calculate as the to the lowest degree common multiple of both denominators – LCM(1, 8) = 8. In practice, it is enough to find the common denominator (non necessarily the lowest) past multiplying the denominators: 1 × eight = 8. In the following intermediate pace, it cannot farther simplify the fraction consequence past canceling.
    In other words – 7 minus five eighths is l-one eighths.

Rules for expressions with fractions:

Fractions
– use a forward slash to divide the numerator past the denominator, i.e., for v-hundredths, enter
5/100. If y'all apply mixed numbers, go out a space betwixt the whole and fraction parts.

Mixed numerals
(mixed numbers or fractions) keep ane infinite between the integer and
fraction and utilize a frontward slash to input fractions i.eastward.,
i 2/3
. An example of a negative mixed fraction:
-5 i/2.
Because slash is both signs for fraction line and segmentation, utilize a colon (:) as the operator of division fractions i.e.,
ane/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point
.
and they are automatically converted to fractions – i.e.
1.45.

Math Symbols

Symbol Symbol name Symbol Significant Case
+ plus sign add-on i/2 + 1/3
– minus sign subtraction 1 one/two – ii/3
* asterisk multiplication 2/iii * iii/iv
× times sign multiplication 2/three × five/6
: division sign sectionalisation one/2 : 3
/ division slash division 1/3 / five
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -three/5 – (-1/4)

The calculator follows well-known rules for
the club of operations. The nearly common mnemonics for remembering this order of operations are:
PEMDAS
– Parentheses, Exponents, Multiplication, Partition, Improver, Subtraction.
BEDMAS
– Brackets, Exponents, Sectionalisation, Multiplication, Addition, Subtraction
BODMAS
– Brackets, Of or Lodge, Partition, Multiplication, Addition, Subtraction.
GEMDAS
– Grouping Symbols – brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS
– Multiplication and Sectionalisation take the aforementioned precedence over Improver and Subtraction. The MDAS rule is the social club of operations part of the PEMDAS rule.
Be careful; always exercise
multiplication and division
earlier
improver and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in word issues:

  • Babies


    Two adults, two children, and four babies are on a coach. What fraction of the people are babies?

  • Fruit basket


    If there are 7 apples and five oranges in the basket, what fraction of oranges are in the fruit basket?

  • Someone


    Someone ate 1/10 of a cake, leaving simply 9/ten. If you swallow 2/3 of the cake left, how much of a whole block will yous have eaten?

  • Fraction and a decimal


    Write as a fraction and a decimal. One and two plus three and five hundredths

  • Marry


    Marry had 1 1/two dozen eggs in the refrigerator. She used i/3 of the eggs. What part of the eggs was used?

  • Value of Z


    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 cease fraction Give your answer to two decimal places.

  • A quarter


    A quarter of the number 72 is:

  • One Saturday


    Ane Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?

  • The parsley


    Milka's grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?

  • Lowest terms 2


    We tin write the expression 4/12 in its lowest term as ane/3. What is three/fifteen expressed in its lowest term?

  • Evaluate expression


    Calculate the value of the expression z/iii – 2 z/nine + ane/half dozen, for z = 2

more math problems »