Calculator expression with brackets
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.
1/3 * (1/2 - 3 3/8) = -23/24 ≅ -0.9583333
Spelled result in words is minus twenty-three twenty-fourths.How do we solve fractions step by step?
- Conversion a mixed number 3 3/8 to a improper fraction: 3 3/8 = 3 3/8 = 3 · 8 + 3/8 = 24 + 3/8 = 27/8
To find a new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/8 = 24/8
b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 8.
Three and three eighths is twenty-seven eighths. - Subtract: 1/2 - 27/8 = 1 · 4/2 · 4 - 27/8 = 4/8 - 27/8 = 4 - 27/8 = -23/8
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half minus twenty-seven eighths is minus twenty-three eighths. - Multiple: 1/3 * the result of step No. 2 = 1/3 * (-23/8) = 1 · (-23)/3 · 8 = -23/24
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one third multiplied by minus twenty-three eighths is minus twenty-three 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) |
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:
- 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?
- 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?
- The reciprocal mul
Multiply -5/6 with the reciprocal of 7/8.
- Fraction expression
Which expression is equivalent to : Minus 9 minus left parenthesis minus 4 start fraction 1 divided by 3 end fraction right parenthesis
- Two fractions multiply
What is 4/5 when multiplied by 9/10?
- 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?
- 7918/45510 60641
From 7918/45510, calculate 4/10 and 6/10
- A newspaper's
A newspaper's cover page is 3/8 text, and photographs fill the rest. If 2/5 of the text is an article about endangered species, what fraction of the whole cover page is the article about endangered species?
- Fractions 3
Calculate 1/9 of 27:
- Classroom 4
In a class of 36 pupils, 2/3 are girls. How many girls and boys are in the class?
- Slices of pizza
Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat?
- Trent
Trent operates a hot dog stand. On Wednesday, he used two bags of hot dog buns. On Thursday, he used 1/5 as many hot dog buns as Wednesday. How many bags of hot dog buns Trent used on Thursday?
- 100/4700 66704
What is 1/8 of 100/4700?
- A quarter 2
A quarter of the 72 sandwiches contain cheese. The rest contain ham. How many are ham sandwiches?
- Scouts 4
4/7 out of the students in a school are boys. If 3/8 of the boys are scouts, how many scouts are there in a school of 1878 students?
more math problems »