Calculator decimal to 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.
0.625 = 5/8
The result spelled out in words is five eighths.How do we solve fractions step by step?
- Conversion a decimal number to a fraction: 0.625 = 625/1000 = 5/8
a) Write down the decimal 0.625 divided by 1: 0.625 = 0.625/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.625/1 = 6.25/10 = 62.5/100 = 625/1000
Note: 625/1000 is called a decimal fraction.
c) Simplify and reduce the fraction
625/1000 = 5 * 125/8 * 125 = 5* 125/8* 125= 5/8
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:
- Puzzle game
In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets to solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest form. - 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? - One-fifth What is 1/5 as a decimal? Round your answer to three decimal places.
- Three colors 2/3
Marek has balls of three colors. Two-thirds of the balls are green, 2/7 are blue, and one ball is yellow. How many balls does Marek have? - Mary needs
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? - A pastry
A pastry chef made some tarts and cupcakes. 2/9 of the tarts were chocolate, and the rest were fruit. 3/7 out of the fruit tarts were lychee tarts, and the rest were peach tarts. There were 96 peach tarts. How many tarts did the pastry chef make altogethe - Sewing
The lady cut off one-half of the cloth. She needed three-quarters of this piece to sew a skirt. What part of the original piece of cloth remained?
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Last Modified: November 19, 2025
