Hi Marianne, your post is very helpful and informative about the two ways on adding fractions. Those that need LCM and those that are not. In any case, I am fun of your second method. For me, it is a proven method and very effective. So let me share my technique on solving fraction.
To add and subtract fractions successfully is to make the rules stick to your memory.
Rules for addition:
Same denominator:
Add both numerator then reduce. The result would be the final answer.
Different denominator (4 steps):
1. Multiply the numerator of first fraction to the denominator of second fraction. The result is the new numerator of first fraction.
2. Multiply the numerator of the second fraction to the denominator of first fraction. The result is the new numerator of second fraction.
3. Multiply both denominators. The result is the common denominator for two fractions.
4. Add the two new numerators. The result is the answer.
Rules for subtraction:
Same denominator:
Subtract second numerator from first then reduce. The result would be the final answer.
Different denominator (4 steps):
1. Multiply the numerator of first fraction to the denominator of second fraction. The result is the new numerator of first fraction.
2. Multiply the numerator of the second fraction to the denominator of first fraction. The result is the new numerator of second fraction.
3. Multiply both denominators. The result is the common denominator for two fractions.
4. Subtract new second numerator from first new numerator. The result is now the answer.
To make it stick to your memory:
Same numerator:
Add two fractions 50 times.
Different denominator:
Add two fractions 100 times.
To check if your answer is right and your step by step solution is correct?
Use mixed fraction calculator with button. It is important that you follow the correct steps in adding unlike fraction. Unlike fractions are those fractions with different denominator.
The key here is to make the rules implanted into the minds of the students so that they will never forget.
Hi Marianne, your post is very helpful and informative about the two ways on adding fractions. Those that need LCM and those that are not. In any case, I am fun of your second method. For me, it is a proven method and very effective. So let me share my technique on solving fraction.
To add and subtract fractions successfully is to make the rules stick to your memory.
Rules for addition:
Same denominator:
Add both numerator then reduce. The result would be the final answer.
Different denominator (4 steps):
1. Multiply the numerator of first fraction to the denominator of second fraction. The result is the new numerator of first fraction.
2. Multiply the numerator of the second fraction to the denominator of first fraction. The result is the new numerator of second fraction.
3. Multiply both denominators. The result is the common denominator for two fractions.
4. Add the two new numerators. The result is the answer.
Rules for subtraction:
Same denominator:
Subtract second numerator from first then reduce. The result would be the final answer.
Different denominator (4 steps):
1. Multiply the numerator of first fraction to the denominator of second fraction. The result is the new numerator of first fraction.
2. Multiply the numerator of the second fraction to the denominator of first fraction. The result is the new numerator of second fraction.
3. Multiply both denominators. The result is the common denominator for two fractions.
4. Subtract new second numerator from first new numerator. The result is now the answer.
To make it stick to your memory:
Same numerator:
Add two fractions 50 times.
Different denominator:
Add two fractions 100 times.
To check if your answer is right and your step by step solution is correct?
Use mixed fraction calculator with button. It is important that you follow the correct steps in adding unlike fraction. Unlike fractions are those fractions with different denominator.
The key here is to make the rules implanted into the minds of the students so that they will never forget.