Calculator fractions multiple
This calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
2/3 * 3/5 = 2/5 = 0.4
Spelled result in words is two fifths.How do we solve fractions step by step?
- Multiple: 2/3 * 3/5 = 2 · 3/3 · 5 = 6/15 = 2 · 3/5 · 3 = 2/5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 15) = 3. In the following intermediate step, cancel by a common factor of 3 gives 2/5.
In other words - two thirds multiplied by three fifths is two fifths.
Rules for expressions with fractions:
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 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 Meaning | Example |
|---|---|---|---|
| + | plus sign | addition | 1/2 + 1/3 |
| - | minus sign | subtraction | 1 1/2 - 2/3 |
| * | asterisk | multiplication | 2/3 * 3/4 |
| × | times sign | multiplication | 2/3 × 5/6 |
| : | division sign | division | 1/2 : 3 |
| / | division slash | division | 1/3 / 5 |
| : | colon | complex fraction | 1/2 : 1/3 |
| ^ | caret | exponentiation / power | 1/4^3 |
| () | parentheses | calculate expression inside first | -3/5 - (-1/4) |
The calculator follows well-known rules for the order of operations. The most 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, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule 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 /) has the same priority and then must evaluate from left to right.
Fractions in word problems:
- Someone
Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake that is left, how much of a whole cake will you have eaten? - Paper clips
Mrs. Bright is organizing her office supplies. There are 5 open boxes of paper clips in her desk drawer. Each box has 1/2 of the paper clips remaining. How many boxes of paper clips are left? - Pupils 13
If ⅜ of the pupils in year 9 say their favorite color is red.there are 112 pupils in year 9. How many students said red is their favorite color? - Write 3
Write a real-world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10, then solve the problem. - A pie 6
There was 5/8 of a pie left in the fridge. Daniel ate 1/4 of the left over pie. How much of the pie did he have? - There 12
There are 42 students in the class and 2/3 of them are girls. How may girls are there in the class? - A store
A store received a shipment of 240 skateboards. In three weeks, it sold 1/3 of those skateboards. How many skateboards did the store sell? - Two fractions multiply
What is 4/5 is multiplied by 9/10? - Classroom 4
In a class of 36 pupils, 2/3 are girls. How many girls and boys are in the class? - Pie II
Vili ate three pieces of pie. If it pieces is 1/8 how much pie did he eat? - Puppies
At an animal rescue, 5/6 of the animals are dogs. Three-fourths of the dogs are puppies. This model represents the fraction of the animals at the rescue that are puppies. What fraction of the animals at the rescue are puppies?
more math problems »