Calculator fractions multiple
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.
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 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:
- 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? - Bryce
Bryce collected 1/4 of a bin of glass bottles to recycle. Megan collected 5 times as many bins as Bryce. How many bins of bottles did Megan collect? - Ms. Sheppard
Ms. Sheppard cuts ½ of a piece of construction paper. She uses ⅙ of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower? - Icecreams
Karthik bought 30 icecreams for his birthday. 2/5 of them are chocolate icecreams. Find the number of chocolate icecreams he bought. - 10 children
Ten children in the park, four-tenths are wearing a red shirt. How many children in the park are wearing a red shirt? - There 31
There are 600 students in the plaza. 2/5 of them are from USC. How many students are from USC? - Learnes
There are 800 learners in a school 7/8 of the learners walk to school. How many learners walk in school? - Ken wanted
Ken wanted to buy 7/8 of the entire stock of dog food in a pet store. There were 128 bags of dog food available how many bags did he buy? - Write 3
Write a real-world problem involving the multiplication of a fraction and a whole number with a product between 8 and 10, then solve the problem. - Slices of pizza
Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat? - Alice 3
Alice has R50 and spends 4/5 of her money. How much does Alice spend? - Fractions 3
Calculate 1/9 of 27: - Roy harvested
Roy harvested 3/4 crate of guavas. He sold 1/2 of them in the neighborhood. What part of a crate of guavas sold? - 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?
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