Calculator compound fraction
This fraction 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.
3/4 * 5/7 = 15/28 ≅ 0.5357143
Spelled result in words is fifteen twenty-eighths.How do we solve fractions step by step?
- Multiple: 3/4 * 5/7 = 3 · 5/4 · 7 = 15/28
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(15, 28) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three quarters multiplied by five sevenths is fifteen twenty-eighths.
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) |
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 evaluate from left to right.
Fractions in word problems:
- Samantha
Samantha took 72 pictures on her beach vacation. 3/4 of those pictures are on the beach. How many pictures from her vacation are on the beach?
- Someone
Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten?
- Beth wants
Beth wants to give 1/4 pizza to each of her 6 friends. Which choice does not show the number of pizzas Beth needs?
- Pencils
You have 36 pencil crayons. How many pencil crayons makeup 1/2 of the total?
- Learnes
There are 800 learners in a school 7/8 of the learners walk to school. How many learners walk in school?
- There 31
There are 600 students in the plaza. 2/5 of them are from USC. How many students are from USC?
- Doughnuts
2/3 of the doughnuts in a box have frosting. 1/2 of the doughnuts with frosting have sprinkles. What fraction of the doughnuts in the box have frosting and sprinkles?
- A pie 6
There was 5/8 of a pie left in the fridge. Daniel ate 1/4 of the leftover pie. How much of the pie did he have?
- Fraction expression
Which expression is equivalent to : Minus 9 minus left parenthesis minus 4 start fraction 1 divided by 3 end fraction right parenthesis
- A total 2
A total of 42 candies if divided among boys and girls. If boys receive 3/7, then how much will girls receive?
- Tiffany
Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza, to begin with, how many slices did Tiffany eat?
- There 12
There are 42 students in the class, and 2/3 of them are girls. How many girls are there in the class?
- One third 2
One-third of all students in class live in a house. If there are 42 students in a class, how many of them live in a house?
- 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?
- Bella
Bella collected 3/5 of a bin of glass bottles to recycle. Ian collected 9 times as many bins as Bella. How many bins of bottles did Ian collect?
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