need to understand how to find the sum in simplest form of these common denominators 1/2 +1/10= ,5/12+1/4=,the difference in 2/3-1/6 =, 5/6-7/12=
Common denominators to use are in bold:
1/2 +1/10 10
5/12+1/4 12
http://www.aaastudy.com/fra.htm#topic5
Adding fractions
2/3-1/6 6
5/6-7/12 12
http://www.aaastudy.com/fra.htm#topic45
Subtracting fractions
Three times as many kids as adults attended a concert. Adult ticket costs $7, a kid ticket costs $3. The theater one night collected $6,000. How many kids attended how many adults attended l
3+1 5 4
1. what is the answer !
instructions - Find the difference . Write the answer .
problem - 8 whole number
1
3 -
2
39/40 in it simplest form
To find the sum or difference in simplest form when adding or subtracting fractions with common denominators, you can follow these steps:
Step 1: Make sure the fractions have the same denominator. If the fractions already have a common denominator, you can skip to Step 2. If not, you need to find the least common denominator (LCD) by finding the smallest multiple that both denominators can divide into evenly.
Let's go through each problem one by one:
1. 1/2 + 1/10:
Both fractions have different denominators (2 and 10), so you need to find the LCD.
Listing the multiples of 2: 2, 4, 6, 8, 10, ...
Listing the multiples of 10: 10, 20, 30, ...
The smallest multiple they have in common is 10.
So, you need to convert both fractions so that they have a denominator of 10.
Convert 1/2 to an equivalent fraction with a denominator of 10:
Multiplying both the numerator and denominator by 5, you get 5/10.
Now, the problem becomes: 5/10 + 1/10.
2. 5/12 + 1/4:
Both fractions already have a common denominator (12 and 4), so you can skip to Step 2 directly.
3. The difference in 2/3 - 1/6:
Both fractions have different denominators (3 and 6), so you need to find the LCD.
Listing the multiples of 3: 3, 6, ...
Listing the multiples of 6: 6, 12, ...
The smallest multiple they have in common is 6.
So, you need to convert both fractions so that they have a denominator of 6.
Convert 2/3 to an equivalent fraction with a denominator of 6:
Multiplying both the numerator and denominator by 2, you get 4/6.
Now, the problem becomes: 4/6 - 1/6.
4. 5/6 - 7/12:
Both fractions have different denominators (6 and 12), so you need to find the LCD.
Listing the multiples of 6: 6, 12, ...
Listing the multiples of 12: 12, 24, ...
The smallest multiple they have in common is 12.
So, you need to convert both fractions so that they have a denominator of 12.
Convert 5/6 to an equivalent fraction with a denominator of 12:
Multiplying both the numerator and denominator by 2, you get 10/12.
Now, the problem becomes: 10/12 - 7/12.
Step 2: Perform the addition or subtraction of the numerators, keeping the denominator the same.
For example:
1/2 + 1/10 = (5/10) + (1/10) = 6/10.
5/12 + 1/4 = (5/12) + (3/12) = 8/12.
4/6 - 1/6 = (4/6) - (1/6) = 3/6.
10/12 - 7/12 = 3/12.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
For example:
6/10 can be simplified by dividing numerator and denominator by their GCD, which is 2. It becomes 3/5.
8/12 can be simplified by dividing numerator and denominator by their GCD, which is 4. It becomes 2/3.
3/6 can be simplified by dividing numerator and denominator by their GCD, which is 3. It becomes 1/2.
3/12 can be simplified by dividing numerator and denominator by their GCD, which is 3. It becomes 1/4.
So, the final answers are:
1/2 + 1/10 = 3/5
5/12 + 1/4 = 2/3
2/3 - 1/6 = 1/2
5/6 - 7/12 = 1/4