Fraction calculator
This calculator multiplies fractions. Multiplies all numerators and places the result over the product of all denominators. Then simplify the result to the lowest terms or a mixed number.
The result:
7/8 * 3/9 = 7/24 ≅ 0.2916667
The spelled result in words is seven twenty-fourths.How do we solve fractions step by step?
- Multiple: 7/8 * 3/9 = 7 · 3/8 · 9 = 21/72 = 7 · 3/24 · 3 = 7/24
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 72) = 3. In the following intermediate step, cancel by a common factor of 3 gives 7/24.
In other words - seven eighths multiplied by three ninths is seven twenty-fourths.
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 sign 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) |
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
• reciprocal of a fraction: 1 : 3/4
• square of a fraction: 2/3^2
• cube of a fraction: 2/3^3
• exponentiation of a fraction: 1/2^4
• 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) : 4/22 - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction
• 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 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 /) have the same priority and must be evaluated from left to right.
Fractions in word problems:
- A quarter 2
A quarter of the 72 sandwiches contain cheese. The rest contain ham. How many are ham sandwiches? - 19 boy
Nineteen boys in section 1 and 23 boys in section 2. If 2/6 of them are boy Scouts, how many boy scouts are them? - Tiffany
Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza, to begin with, how many slices did Tiffany eat? - Two fractions multiply
What is ⅔ × ⅚?
- 100/4700 66704
What is 1/8 of 100/4700? - Two fractions multiply
What is 4/5 when multiplied by 9/10? - Fraction multiplication
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Type an expression to match, and then evaluate. Type your answer as a mixed number. 4 times as much as the sum of 1/5 and 2/3 - Mother‘s
Mother's weight is 50 kg, 0.5 times his weight, which is exactly 3/2 of the weight of the older sister. How many kilograms does the older sister weigh?
- Nida had
Nida had 1/12 of a pizza. She gave 1/8 of it to her friend Madeeha. Find what part of the whole pizza did Madeeha get. - Product of two fractions
6 2/3*3/10 in simplest form - At a party
There are 16 people at a party, and 3/4 of the people drink orange juice. How many people drink orange juice? - Candy
You stop at hasty to buy candy. You give half of the bag to one friend. Then give a quarter to another friend. Later two more friends come, and you give each of them a third of what is in the bag. How many candies did you start with? - Dave has
Dave has 150 kites. He sold 1/2 of them on Monday and 1/3 of the remaining on Tuesday. How many kites were not sold? What is asked in the problem? A. The number of sold kites B. The number of unsold kites
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