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Fraction Calculator

 

 


Reduce Fraction

 

How to Add Fractions

To add fractions, the formula is:

a/b + c/d = (ad + bc) / bd.

For example: 3/8 + 2/4 = (3*4 + 2*8) / 8*4 = 28 / 32.

To reduce this fraction, first find a common factor, in this case a 4 goes into both numbers. Next, divide the numerator and denominator by 4 and the answer is: 7 / 8 (4 goes into 28 - 7 times and 4 goes into 32 - 8 times).

How to Subtract Fractions

To subtract fractions, the formula is:

a/b - c/d = (ad - bc) / bd.

For example: 3/6 - 1/5 = (3*5 - 1*6) / 5*6 = 9 / 30.

To reduce this fraction, find a common factor that goes into both numbers, in this case a 3 goes into both. Next, divide both numerator and denominator by 3 and you get 3 / 10.

How to Multiply Fractions

To multiply fractions, the formula is:

a/b * c/d = ac / bd.

For example: 3/8 * 2/7 = 3*2 / 8*7 = 6 / 56.

To reduce this fraction, find a common factor that goes into both numbers (numerator and denominator), in this case a 2 goes into both. Divide both by 2 and the answer is 3 / 28; 6/56 is reduced to 3/28.

How to Divide Fraction

To divide fractions, the formula is:

a/b ÷ c/d = ad / bc.

For example: 1/3 * 7/5 = 1*5 / 3*7 = 5 / 21.

This problem cannot be reduced any further.

 

*Note:
x / y is sometimes called x over y.

A helpful hint: When doing fractions, a way to think of where each number goes is to think of your problem in the following way:

If you got 7 answers right and there were 10 questions on a test, then to find your score you would say 7 out of 10, so to do the math you would write 7 / 10. The top number (numerator) is the part and the bottom number (denominator) is the whole.

 

 

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