Enter a numerator and denominator to get the exact decimal value, percentage, simplified fraction, and mixed-number form of any fraction.
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A fraction is shorthand for division. The fraction bar means the same thing as the division sign, so 7/4 is simply 7 divided by 4. This calculator performs that division for the conversion and rounds the decimal to six places, multiplies it by 100 to get the percentage, reduces the fraction to lowest terms with the greatest common divisor, and rewrites improper fractions as mixed numbers. Every fraction divides to either a terminating decimal or a repeating decimal, so you see the exact equivalent value in every form at once, with no manual long division.
Converting a fraction to a decimal takes one operation: division. Decimal = Numerator / Denominator. For 3/4 that is 3 divided by 4, which equals 0.75. To get the percentage, move the decimal point two places to the right, which is the same as multiplying by 100: 0.75 × 100 = 75%. To simplify the fraction, divide both numbers by their greatest common divisor (GCD). The GCD of 18 and 24 is 6, so 18/24 reduces to 3/4. For an improper fraction like 7/4, divide to find the whole part, then reduce the remainder: 7 divided by 4 is 1 with a remainder of 3, so 7/4 equals 1 3/4.
Type the numerator into the top field and the denominator into the bottom field. The denominator must be at least 1, since division by zero has no defined result. Results show the moment you calculate: the decimal, the percentage, the fraction reduced to lowest terms, and the mixed-number form when the fraction is improper. Try 3/8 to see 0.375 and 37.5%, or 1/3 to see a repeating decimal rounded to 0.333333.
Start with the fraction 7/4. Divide the numerator by the denominator: 7 / 4 = 1.75. Multiply by 100 for the percentage: 1.75 × 100 = 175%. Simplify with the GCD: the GCD of 7 and 4 is 1, so 7/4 is already in lowest terms. Convert to a mixed number: 4 goes into 7 once with 3 left over, and 3/4 cannot be reduced, giving 1 3/4. So 7/4 = 1.75 = 175% = 1 3/4.
Every fraction converts to either a terminating decimal or a repeating decimal. A reduced fraction terminates exactly when its denominator has no prime factors other than 2 and 5, because 10 = 2 × 5. So 3/8 = 0.375 ends cleanly, while 1/3 = 0.333333... repeats forever. The calculator rounds repeating decimals to six decimal places. Common examples worth memorizing: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/8 = 0.125, 2/3 = 0.666667, and 5/6 = 0.833333.
If the denominator divides evenly into a power of 10, scale the fraction instead of dividing. Multiply 3/5 by 2/2 to get 6/10 = 0.6, and multiply 7/25 by 4/4 to get 28/100 = 0.28. Memorize the common eighths: 1/8 = 0.125, 3/8 = 0.375, 5/8 = 0.625, 7/8 = 0.875. A printed fraction-to-decimal chart is handy, but these patterns cover most everyday fractions. Always reduce first when simplifying by hand, since a smaller division is easier: 18/24 reduces to 3/4 before you divide. And remember that an improper fraction always exceeds 1, so its decimal will too: 5/4 = 1.25.
Divide the numerator by the denominator. The fraction bar means the same thing as the division sign, so 3/4 is 3 divided by 4, which equals 0.75. If the division never ends, you get a repeating decimal, which you round to the precision you need.
7/4 equals 1.75 as a decimal and 175% as a percent. Since the numerator is larger than the denominator, it is an improper fraction, and its mixed-number form is 1 3/4. The fraction is already in lowest terms because 7 and 4 share no common divisor other than 1.
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it. For 18/24, the GCD is 6, so 18 divided by 6 is 3 and 24 divided by 6 is 4, giving 3/4. This calculator reduces every fraction automatically.
A mixed number combines a whole number with a fraction, like 1 3/4. To convert an improper fraction, divide the numerator by the denominator: the quotient is the whole part and the remainder is the new numerator. The denominator stays the same, and you reduce the fractional part if possible.
A fraction in lowest terms produces a repeating decimal when its denominator has any prime factor other than 2 or 5. For example, 1/3 = 0.333333... and 1/7 = 0.142857142857... Fractions whose denominators are built only from 2s and 5s, like 7/8 = 0.875, terminate exactly.
Convert the fraction to a decimal first, then multiply by 100 and add the percent sign. For 3/8, that is 0.375 × 100 = 37.5%. Moving the decimal point two places to the right does the same thing.
No. Division by zero is undefined in mathematics, so a fraction with a zero denominator has no decimal value. This calculator requires the denominator to be at least 1 and will not accept zero.