Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
1/7 = ?/?
+ 3/14 = ?/?
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??
1/7=2/14
3/14=3/14
After adding them two fractions you should sum up to 5/14
http://www.mathsisfun.com/least-common-denominator.html
Well I don't know what the answer is ,it's kind of hard
To add fractions, you need to first find a common denominator. In this case, you are asked to use the lowest common denominator (LCD) to ensure the resulting fraction is in simplest form.
Step 1: Finding the LCD
To find the LCD, you need to determine the common multiples of the denominators. The denominators in this problem are 7 and 14. To find the LCD, list the multiples of each denominator until you find a common multiple. The multiples of 7 are: 7, 14, 21, 28... and the multiples of 14 are: 14, 28, 42...
From this list, we can see that the least common multiple (LCM) or LCD is 14. Therefore, we will use 14 as the common denominator for both fractions.
Step 2: Converting the fractions to equivalent fractions with the LCD
To convert the fractions to equivalent fractions with the LCD, you need to multiply both the numerator and denominator by the same number.
For the first fraction, 1/7, we need to multiply the numerator and denominator by 2 to get a denominator of 14. Therefore, 1/7 is equivalent to (1 × 2) / (7 × 2), which gives us 2/14.
For the second fraction, 3/14, the denominator is already 14, so we do not need to do anything.
Now we have:
1/7 = 2/14
3/14 = 3/14
Step 3: Adding the fractions
Now that both fractions have the same denominator, we can add them together:
2/14 + 3/14 = 5/14
So, the sum of the two fractions is 5/14.
Step 4: Reducing the fraction
To reduce the fraction to its simplest form, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by this value.
In this case, the GCD of 5 and 14 is 1. Therefore, we divide both the numerator and denominator by 1, and the fraction cannot be further reduced.
So, the final sum is 5/14.