Calculator dividing integer and fraction
This calculator divides an integer (or whole number) by a fraction. To divide an integer by a fraction, multiply the denominator by the integer and place it over the numerator. Then simplify the result to the lowest terms or a mixed number.
5 ÷ 1/2 = 10/1 = 10
The result spelled out in words is ten.How do we solve fractions step by step?
- Divide: 5 : 1/2 = 5/1 · 2/1 = 5 · 2/1 · 1 = 10/1 = 10
The first operand is an integer. It is equivalent to a fraction 5/1. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/2 is 2/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
In other words, five divided by one half equals ten.
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:
- Handmade scarves
Chelsea is sewing handmade scarves for her sisters and friends. She has 4 ⅚ yards of material and needs ⅞ of a yard for each scarf. How many scarves can she make with the existing material? - A fair dice
A fair six-sided dice are rolled. What is the probability that the first number rolled is greater than 1 and the second number rolled is odd? Type your answer as a fraction in the simplest form. - The store 2
The store owner ordered 3/4 of a sack of sugar. Each sacks of sugar contained 50 kilograms. The supplier sent only 2/3 of the order. How many more kilograms of sugar should the supplier send? - Gold horseshoe
Calculate the volume of a gold horseshoe that weighs 750g. - Sum two mixed
Which of the following is the sum of 22 7/9 and 6 8/9? - A man 10
A man gave 1/6 of his SSNIT benefits to his aged mother, 1/5 to his father, and 1/2 to his wife. If he still has 400 left, which he distributed among his four sons. Calculate a) his total SSNIT b) the amount is given to his mother c) the amount is given t - Swim kilometers
Amy swam 2/9 kilometers to an island. Then she swam 1/9 kilometers to a boat. How far did she swim in all? Write your answer as a fraction in simplest form.
more math problems »
Last Modified: August 28, 2025
