Loading Calculator...
Please wait a moment
Please wait a moment
Calculate any fraction of any number instantly with step-by-step solutions
Example: 3/4 (three quarters)
The number you want to find the fraction of
Quick Common Fractions:
Formula:
Result = (Numerator ÷ Denominator) × Number
Enter a fraction and number to calculate
Finding a fraction of a number means multiplying the number by that fraction. For example, "3/4 of 100" means you're taking three-quarters of 100, which equals 75. This operation is fundamental in mathematics and appears frequently in everyday situations.
| Fraction | Name | Decimal | Percentage | Of 100 |
|---|---|---|---|---|
| 1/2 | Half | 0.500 | 50% | 50 |
| 1/3 | Third | 0.333 | 33.33% | 33.33 |
| 1/4 | Quarter | 0.250 | 25% | 25 |
| 1/5 | Fifth | 0.200 | 20% | 20 |
| 2/3 | Two thirds | 0.667 | 66.67% | 66.67 |
| 3/4 | Three quarters | 0.750 | 75% | 75 |
| 1/8 | Eighth | 0.125 | 12.5% | 12.5 |
| 1/10 | Tenth | 0.100 | 10% | 10 |
Result = (a ÷ b) × n
Example: 3/4 of 100
= (3 ÷ 4) × 100 = 0.75 × 100 = 75
Result = (a × n) ÷ b
Example: 3/4 of 100
= (3 × 100) ÷ 4 = 300 ÷ 4 = 75
% = (a ÷ b) × 100
Example: 3/4 = (3÷4) × 100 = 75%
Then 75% of 100 = 75
Decimal = a ÷ b
Example: 3/4 = 3 ÷ 4 = 0.75
Then 0.75 × 100 = 75
Simplify fraction, then calculate
Example: 6/8 of 100
Simplify: 6/8 = 3/4
Then: 3/4 of 100 = 75
Break into unit fractions
Example: 3/4 = 1/4 + 1/4 + 1/4
1/4 of 100 = 25, so 3×25 = 75
In mathematics, the word 'of' means multiplication. So '3/4 of 100' means 3/4 × 100. When you see 'fraction of number', you multiply the fraction by the number. This is why 1/2 of 100 equals 50 (1/2 × 100 = 50). The word 'of' is a signal to multiply.
There are two methods: Method 1 - Divide then multiply: (3 ÷ 4) × 100 = 0.75 × 100 = 75. Method 2 - Multiply then divide: (3 × 100) ÷ 4 = 300 ÷ 4 = 75. Both give the same answer. Method 1 is better for decimals, Method 2 is better when you can divide evenly.
First convert the fraction to a decimal by dividing the numerator by the denominator, then multiply by the number. For example, to find 2/5 of 80: First, 2 ÷ 5 = 0.4. Then, 0.4 × 80 = 32. So 2/5 of 80 is 32. You can also think of it as a percentage: 2/5 = 40%, and 40% of 80 = 32.
Half (1/2) of any number is simply that number divided by 2. For example: 1/2 of 100 = 50, 1/2 of 80 = 40, 1/2 of 17 = 8.5. This is because 1/2 × n = n ÷ 2. Finding half is one of the most common fraction calculations and is the same as dividing by 2.
Divide the first number by the second number to get a decimal, then convert to a fraction. For example, what fraction is 25 of 100? Calculate: 25 ÷ 100 = 0.25 = 25/100 = 1/4. So 25 is 1/4 of 100. You can also express this as a percentage: 0.25 = 25%.
Fractions represent parts of a whole, making them perfect for real-world division. If a recipe needs 2/3 cup of sugar for one batch, and you want to make 3 batches, you need 2/3 × 3 = 2 cups. If an item is 1/4 off ($20 discount on $80), the sale price is $80 - (1/4 × $80) = $80 - $20 = $60. Fractions help us calculate partial amounts accurately.