Calculator multiplying fractions
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.
7/8 * 3/9 = 7/24 ≅ 0.2916667
The result spelled out 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 equals seven twenty-fourths.
Rules for expressions with fractions:
Fractions - write a forward slash to separate the numerator and 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 whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2.
A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal dot . 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 are:
- PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
- BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
- BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
- GEMDAS: Grouping symbols (brackets: `(){}`), Exponents, Multiplication, Division, Addition, Subtraction.
- MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., `+` and `-`, or `*` and `/`) must be evaluated from left to right.
Fractions in word problems:
- Bellow one
What is 1/3 in whole number? - Vegetarian menu
At a restaurant, 2/3 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/10 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes? - Peter multiplies
Peter try to calculate: 3/4 x 2/3 He did 3x3 to get 9 and 4 x 2 to get 8. The final answer is 8/9. Can you explain the error and how to help? What is the correct answer? - There 31
There are 600 students in the plaza. 2/5 of them are from USC. How many students are from USC?
- 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? - Riley
Riley has 4 mixing bowls. Each bowl has 1 5/8 cups of flour. How many cups of flour does Riley have? Show your work. - Shopping 7
I went into a shop with 210.00 and spent 1/7 of it on eggs and 1/2 of it on fruits. How much did I have left?
more math problems »
Last Modified: April 16, 2025
