Fraction calculator

This fraction reckoner performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows detailed step-past-stride information virtually the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, 3, or more fractions and numbers in i expression.

The issue:

3/5 * three/5 = ix / 25 = 0.36

Spelled event in words is nine twenty-fifths.

How do we solve fractions step by step?

  1. Multiple: 3 / 5 * 3 / 5 = 3 · 3 / 5 · 5 = nine / 25
    Multiply both numerators and denominators. Upshot fraction proceed to lowest possible denominator GCD(ix, 25) = 1. In the following intermediate pace, information technology cannot further simplify the fraction result by canceling.
    In other words - three fifths multiplied past three fifths is ix twenty-fifths.

Rules for expressions with fractions:

Fractions - utilise a forrard slash to split up the numerator past the denominator, i.due east., for 5-hundredths, enter v/100. If y'all utilise mixed numbers, leave a infinite betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and use a forward slash to input fractions i.east., 1 two/3 . An example of a negative mixed fraction: -5 1/two.
Considering slash is both signs for fraction line and division, employ a colon (:) equally the operator of sectionalisation fractions i.e., 1/ii : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. i.45.

Math Symbols


Symbol Symbol name Symbol Meaning Instance
+ plus sign addition 1/two + 1/3
- minus sign subtraction 1 i/2 - 2/3
* asterisk multiplication 2/3 * three/4
× times sign multiplication two/3 × five/6
: division sign division ane/2 : 3
/ division slash division one/3 / five
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power i/4^3
() parentheses calculate expression inside first -three/5 - (-one/iv)

The calculator follows well-known rules for the guild of operations. The well-nigh 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, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partition, Addition, Subtraction.
MDAS - Multiplication and Partitioning have the same precedence over Addition and Subtraction. The MDAS dominion is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) take the same priority and must evaluate from left to correct.

Fractions in discussion problems:

  • In fractions
    An ant climbs 2/five of the pole in the starting time 60 minutes and climbs ane/four of the pole in the side by side hour. What part of the pole does the pismire climb in two hours?
  • A quarter
    A quarter of the number 72 is:
  • Lowest terms two
    We can write the expression 4/12 in its lowest term as i/iii. What is 3/15 expressed in its lowest term?
  • Evaluate expression
    Calculate the value of the expression z/3 - ii z/9 + i/6, for z = two
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • 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?
  • One Sat
    One Sat evening at that place are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Fruit basket
    If at that place are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • Denominator 2
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • In the cafeteria
    There are 18 students in Jacob's homeroom. Six students bring their lunch to school. The residuum consume lunch in the deli. In the simplest form, what fraction of students eat tiffin in the cafeteria?
  • Someone
    Someone ate ane/10 of a cake, leaving only ix/10. If you eat ii/3 of the block left, how much of a whole cake will yous have eaten?

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