add+fractions



media type="custom" key="840097"

How to add fractions: To add fractions you have to make both fractions denominators the same (common denominator). The next step is to add the numerators together. The denominator would be the common denominator.

How to add fractions.... 1.Clocks 2.$ Money 3.Double Number Lines 4.Standard Algorithm

2 Examples of adding fractions

1. Adding Fractions using Clocks:
3/4 + 2/6 = The first step to add fractions using clocks is to divide the denominators to 60. 3/4, denominator: 60/4 = 15, 2/6, denominator: 60/6 = 10. Then you multiply the numerator to the answers. 3/4, 60/4 = 15 x 3 = 45, 2/6, 60/6 = 10x2=20. You then add both answer together, 45 + 20 = 75. The answer would be the numerator and the denominator would be 60, 75/60. You have to make 75/60 into a mixed number, to turn it into a mixed number you have to take away 60 from 75 = 1 5/60. Try to simplify it by fitting numbers into the numerator and denominator, if you found a number for ex. 2 can go into 4/8, so divide the found number into the numerator and the denominator and the answer would be the new simplified mixed fraction. Since 5 can go to 5/60 you can simplify the fraction by dividing the numerator and denominator to 5, 5/5 = 1, 60/5 = 12 so the answer is 1 1/12.



2. Adding Fractions using $ Money
3/4 + 2/5= Using money to add fractions you first need to divide the denominators to 100 then multiply the answer to the numerator. (3/4) 100/4 = 25 x 3 = 75, (2/5) 100/5 = 20 x 2 = 40. Then add both answer together. 75 + 40 = 115. Then turn it into a mixed fractions115/100, to turn them into mixed fraction you have to subtract 100 - 115 = 1 15/100 = 1 3/20

3. Adding Fractions using Double Number Lines
3/4 + 2/5 = To add fractions using Double Number Line you have to multiply the denominators together (3/4 & 2/5) 4 x 5 = 20, then divide the denominators to the answer 4/20 = 5 & 5/20 = 4 then multiply the answers to the numerators 4/20 = 5 x 3 = 15 & 5/20 = 4 x 2 = 8. Then you just have to show it on a double number line.

4. Standard Algorithm
3/4 + 2/6 = To add fractions using Standard Algorithm you have to make both denominators the same. To make both denominators the same you can either multiply or divide. To find the same denominator using multiplication you just have to multiply both denominators ( 3/4 + 2/6 =) 4 x 6 = 24. To find the same denominator using division you have to find a number that can you into both denominators ( 3/4 + 2/6 =) 2 can go into 4 & 6. So the answer in either multiplication or division will be the new denominator. Once you find the denominator you just have to add the numerators together ( 3/4 + 2/6 =) 3 + 2 = 5.