Calculator reciprocal of a fraction
This calculator finds the reciprocal of a fraction. To find the reciprocal of a fraction, exchange the numerator and the denominator. Simply speaking, the reciprocal of a/b is b/a.
1 : 3/4 = 4/3 = 1 1/3 ≅ 1.3333333
Spelled out: four thirds (or one and one third).How do we solve fractions step by step?
- Divide: 1 : 3/4 = 1/1 · 4/3 = 1 · 4/1 · 3 = 4/3
The first operand is an integer. It is equivalent to a fraction 1/1. 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 3/4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words, one divided by three quarters equals four thirds.
Rules for expressions with fractions:
Fractions - Use a forward slash to separate the numerator and denominator. For example, for five-hundredths, enter 5/100.Mixed numbers Leave one space between the whole number and the fraction part, and use a forward slash for the fraction. For example, enter 1 2/3 . For negative mixed numbers, write the negative sign before the whole number, such as -5 1/2.
Division of fractions - Since the forward slash is used for both fraction lines and division, use a colon (:) to divide fractions. For example, to divide 1/2 by 1/3, enter 1/2 : 1/3.
Decimals Enter decimal numbers using a decimal point (.), and they will be automatically converted to fractions. For example, enter 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) |
Order of Operations
Ever wondered why calculators don't just work left to right? This calculator follows the mathematical order of operations — a set of rules that ensures everyone solves expressions the same way, every time.
Popular Memory Tricks
Different regions use different mnemonics to remember this order:
* 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 (parentheses, brackets, braces: (){}), Exponents, Multiplication, Division, Addition, Subtraction
The Golden Rules
Rule 1: Multiplication and division always come before addition and subtraction. Think of them as the VIPs that skip to the front of the line!
Rule 2: When operations have equal priority (like × and ÷, or + and −), work from left to right—just like reading a book.
Rule 3: Parentheses change the natural order of evaluation of operations.
Fractions in word problems:
- Recipical fraction
5/9 divided by 8/5 recipical - Why is
Why is three divided by one-fifth different from one-fifth divided by three? - 6 cups of strawberries
Mr. Hunter decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt and divided 6 cups of strawberries equally among the dishes. How many cups of strawberries did each student get in their yogurt? Write your - An apple
An apple cake recipe calls for 2 2/3 c of apple slices. Each apple supplies about 2/3 c of slices. How many apples are needed to make the cake? - A bag 5
A bag of flour weighing 6/12 kilos was repacked at 1/4 kilo each. How many packs were made? - Division of mixed
What is 1 3/8 ÷ 6 7/10? Reduce your answer to the lowest terms. - A chocolate
A chocolate bar is 3/4 of an inch long. If it is divided into 3/8 of an inch long, then how many pieces is that?
more math problems »
Last Modified: January 30, 2026
