Calculator compound fraction
This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.
3/4 * 5/7 = 15/28 ≅ 0.5357143
The result spelled out 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 equals fifteen twenty-eighths.
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:
- Bags of clothes
Nathan and John are collecting clothes for a clothing drive. John collected 1/10 as many clothes as Nathan did. If Nathan collected 1/3 of a bag of clothes, how many bags of clothes did John collect? - Jennifer
Jennifer has 10 pets. Two-fifths of the pets are cats, one-half are fish, and one-tenth are dogs. How many of each pet does she have? - 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? - Slices of pizza
Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat? - 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? - Pizza - sleepover
Petra and Amber had 9 pizzas delivered for a sleepover. Petra ate 2/3 of the pizzas. How many pizzas did Amber eat? Nothing was left. - Multiply 17
Multiply each of the following fractions. Show your work and write your answer as a fraction in simplest form and as a mixed number. You may or may not use the mixed number boxes. Multiply the Fractions ; Result of Multiplying ; Simplest Form ; Mixed Numb
more math problems »
Last Modified: August 28, 2025
