How to Subtract Three Fractions with Different Denominators

The final step is to simplify the resulting fraction if possible, by dividing both the numerator and the denominator by their greatest common divisor.

To subtract these fractions, we need to get the same denominator. A simple way to find the same denominator is to multiply the three denominators. It may not give us the LCM (the least common denominator), but it will be a common denominator.

Multiplying the three denominators provides a common denominator for all fractions, ensuring they have the same base for subtraction.

The common denominator for these fractions is 120.

Multiply the first fraction by 5 * 4, which is 20, resulting in multiplying by 20 over 20.

Multiply the second fraction by 6 * 4, which is 24, resulting in multiplying by 24 over 24.

Multiply the third fraction by 6 * 5, which is 30, resulting in multiplying by 30 over 30.

Having the same denominator allows us to directly subtract the numerators, as they represent equal parts of the whole.

Subtract the numerators directly. For example, 100 minus 48 equals 52.

Yes, if both the numerator and the denominator of the resulting fraction are even, the fraction can be simplified.

By canceling out common factors, the fraction can be simplified to 11/60.

The common denominator for these fractions is 45, which is found by multiplying the denominators 9 and 5.

Multiply the first fraction by 5 to get a common denominator of 45.

Multiply the second fraction by 9 to get a common denominator of 45.

Multiply the third fraction by 15 to get a common denominator of 45.

The result is 2 over 45 after subtracting the numerators 35, 15, and 18.

Yes, any common multiple of the denominators can be used, but it may result in a fraction that needs to be simplified at the end.

The least common denominator (LCM) is the smallest number that all denominators can divide into without a remainder, making the resulting fraction simpler.

Use the long multiplication method to multiply the denominators, ensuring that each step is carried over correctly to find the product.

The final step is to simplify the resulting fraction if possible, by dividing both the numerator and the denominator by their greatest common divisor.

To subtract these fractions, we need to get the same denominator. A simple way to find the same denominator is to multiply the three denominators. It may not give us the LCM (the least common denominator), but it will be a common denominator.