Fraction calculator
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Result:
3/4 * 1/3 = 1/4 = 0.25
Spelled result in words is one quarter.How do you solve fractions step by step?
- Multiple: 3/4 * 1/3 = 3 · 1/4 · 3 = 3/12 = 1 · 3/4 · 3 = 1/4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 12) = 3. In the next intermediate step , cancel by a common factor of 3 gives 1/4.
In words - three quarters multiplied by one third = one quarter.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for 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
• dividing Fractions: 1/2 : 3/4
• exponentiation of fraction: 3/5^3
• fractional exponents: 16 ^ 1/2
• adding fractions and mixed numbers: 8/5 + 6 2/7
• dividing integer and fraction: 5 ÷ 1/2
• complex fractions: 5/8 : 2 2/3
• decimal to fraction: 0.625
• Fraction to Decimal: 1/4
• Fraction to Percent: 1/8 %
• comparing fractions: 1/4 2/3
• multiplying a fraction by a whole number: 6 * 3/4
• square root of a fraction: sqrt(1/16)
• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 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 find the quotient: 3/5 ÷ 2/3
The calculator follows well-known rules for 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.
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:
- Equivalent fractions
Are these two fractions equivalent -4/9 and 11/15?
- Fractions 3
Calculate 1/9 of 27:
- Compare
Compare fractions ?. Which fraction of the lower?
- 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
- Cake fractions
Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5. What fraction of cake left over for others?
- Two divided
Two divided by nine tenths.
- Milimeters
How many millimeters is 1/4 meters?
- Pie
Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat?
- Seeds
Of the 72 wet seeds 7/8 germinated. How many seeds germinate?
- Classroom 4
In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys?
- Women
In an company of 1050 employees are 2/3 women. How many women work in the company?
- Employees
Of all 360 employees, there are 11/12 women. How many men work in a company?
- Mixed with percentages
Calculate 33 1/3% of 570.
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