Calculator multiplying fractions

This figurer multiply fractions. Merely multiplies all numerators and place the result over the product of all denominators. Then simplify the effect to the lowest terms or a mixed number.

seven/8 * iii/9 = 7 / 24 ≅ 0.2916667

Spelled result in words is seven twenty-fourths.

How do we solve fractions step by step?

  1. Multiple: 7 / eight * iii / ix = vii · 3 / viii · 9 = 21 / 72 = seven · 3 / 24 · 3 = 7 / 24
    Multiply both numerators and denominators. Issue fraction keep to lowest possible denominator GCD(21, 72) = 3. In the following intermediate pace, cancel by a common factor of 3 gives 7 / 24 .
    In other words - seven eighths multiplied by iii ninths is seven 20-fourths.

Rules for expressions with fractions:

Fractions - employ a forrad slash to divide the numerator by the denominator, i.e., for five-hundredths, enter v/100. If you lot utilise mixed numbers, go out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and utilise a forward slash to input fractions i.due east., ane 2/three . An example of a negative mixed fraction: -5 one/ii.
Considering slash is both signs for fraction line and division, employ a colon (:) equally the operator of partitioning fractions i.e., i/2 : ane/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.east. i.45.

Math Symbols


Symbol Symbol name Symbol Meaning Instance
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 1/2 - 2/iii
* asterisk multiplication 2/iii * 3/4
× times sign multiplication 2/three × 5/half dozen
: sectionalization sign division ane/2 : iii
/ partition slash division 1/3 / 5
: colon complex fraction 1/ii : 1/three
^ caret exponentiation / power 1/four^three
() parentheses calculate expression inside get-go -3/five - (-1/4)

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

Fractions in word problems:

  • Someone
    Someone ate one/10 of a cake, leaving only 9/10. If you eat ii/three of the cake left, how much of a whole cake will y'all have eaten?
  • Trent
    Trent operates a hot domestic dog stand. On Wednesday, he used two bags of hot dog buns. On Th, he used 1/5 as many hot domestic dog buns as Wednesday. How many bags of hot dog buns used Trent on Thursday?
  • Puppies
    At an creature rescue, 5/six of the animals are dogs. Three-fourths of the dogs are puppies. This model represents the fraction of the animals at the rescue that is puppies. What fraction of the animals at the rescue are puppies?
  • Alice 3
    Alice has R50 and spends iv/5 of her coin. How much does Alice spend?
  • Mr. Stratton
    Mr. Stratton has a flower garden. Of the flowers in his garden, 1/iii of them are roses, and 3/five of the roses are red. What fraction of Mr. Stratton'due south flowers are ruby roses?
  • Classroom 4
    In a form of 36 pupils, 2/three are girls. How many girls and boys are in the course?
  • A pie half-dozen
    There was 5/viii of a pie left in the fridge. Daniel ate one/4 of the leftover pie. How much of the pie did he have?
  • A shop
    A store received a shipment of 240 skateboards. In 3 weeks, information technology sold 1/3 of those skateboards. How many skateboards did the store sell?
  • Pencils
    You lot take 36 pencil crayons. How many pencil crayons makeup i/2 of the total?
  • Slices of pizza
    Maria ate ane/4 of a pizza. If at that place were 20 slices of pizza, how many slices did Maria swallow?
  • 7918/45510 60641
    From 7918/45510, summate 4/x and six/10

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