Adding, Subtracting, Multiplying, & Dividing Fractions

1. How do you add fractions?

Add the denominators first, then the numerators.

Subtract the numerators and denominators.

1.Create Equal Denominators among the Fractions. 2. Next, add the numerators.
3. Reduce or Simplify (if possible) Note: DO NOT ADD DENOMINATORS! EX: With Common Denominator1/3 + 1/3 =(1 + 1)/3 = 2/3 EX:With different denominators. 1/2 + 1/3 = 3/6 + 2/6 =
(3 + 2)/6 = 5/6

Multiply the numerators and denominators together.

The correct way to add fractions is to create equal denominators, add the numerators, and reduce if possible. Multiplying numerators and denominators gives the product of the fractions, adding denominators first is incorrect as they need to remain the same in the sum, and subtracting numerators and denominators will result in a different operation.

Explanation

The correct way to add fractions is to create equal denominators, add the numerators, and reduce if possible. Multiplying numerators and denominators gives the product of the fractions, adding denominators first is incorrect as they need to remain the same in the sum, and subtracting numerators and denominators will result in a different operation.

2. Subtracting Fractions

1.Create Equal Denominators among the Fractions. 2.Subtract the numerators of the fractions. 3. The denominator of the answer will be the same in both fraction and answer.4. Reduce or simplify the answer, if needed.Note: DO NOT SUBTRACT DENOMINATORS!EX: 1/2 - 1/3 = 3/6 - 2/6 =
(3 + 2)/6 = 1/6

1. Add the numerators of the fractions.

3. Always keep the denominators different while subtracting fractions.

2. Multiply the fractions instead of subtracting.

When subtracting fractions, it is important to first ensure that the denominators are the same, then simply subtract the numerators. Keeping the denominators different or adding the numerators would result in an incorrect answer. Multiplying fractions is used for a different operation.

Explanation

When subtracting fractions, it is important to first ensure that the denominators are the same, then simply subtract the numerators. Keeping the denominators different or adding the numerators would result in an incorrect answer. Multiplying fractions is used for a different operation.

3. When multiplying fractions, should you worry about finding a common denominator?

No, only multiply the numerators of the fractions.

Don't Worry About A Common Denominator.1.Multiply the numerators. 2.Multiply the denominators. 3.Simplify or reduce the fraction, if possible.EX: 2/3 X 4/5 = (2 X 4)/(3 X 5) = 8/15

Yes, multiply the denominators first before multiplying the numerators.

Yes, always make sure to find a common denominator before multiplying fractions.

When multiplying fractions, you simply multiply the numerators together and then the denominators together. You do not need to find a common denominator before multiplying the fractions.

Explanation

When multiplying fractions, you simply multiply the numerators together and then the denominators together. You do not need to find a common denominator before multiplying the fractions.

4. Dividing Fractions: Side Note

You can perform cancellations before converting the operation to multiplication.

The divisor's numerator or denominator can be 'zero'.

Special Notes! 1.Remember to only invert the divisor.
2.The divisor's numerator or denominator can not be "zero".
3.We must convert the operation to multiplication BEFORE performing an cancellations.

Remember to invert both the dividend and divisor.

When dividing fractions, it is important to follow the correct steps outlined in the special notes given. Inverting only the divisor helps in retaining the order of the fractions. Division by zero is undefined in mathematics, hence the divisor's numerator or denominator cannot be zero. Converting to multiplication before cancelling ensures the correct solution is obtained.

Explanation

When dividing fractions, it is important to follow the correct steps outlined in the special notes given. Inverting only the divisor helps in retaining the order of the fractions. Division by zero is undefined in mathematics, hence the divisor's numerator or denominator cannot be zero. Converting to multiplication before cancelling ensures the correct solution is obtained.