To add two or more fractions with different denominators, do the following:
Convert the fractions into similar fractions. Determine the least common multiple (LCM) of the denominators.
Divide the LCM to the denominator of the first fraction.
Whatever the quotient is, multiply it to the numerator of the first fraction.
Divide the LCM to the denominator of the second fraction.
Whatever the quotient is, multiply it to the numerator of the second fraction.
Now that they are similar fractions or fractions whose denominator are the same, you may now add the fractions. Just add the numerators and copy the denominator. If possible, simplify.
What is the sum of and ?
Least Common Multiple
4: 4, 8, 12, 16, 20, 24,...
5: 5, 10, 15, 20, 25,...
LCM = 20
First fraction: 3/4
(LCM ÷ denominator) × numerator
(20 ÷ 4) × 3
= 15
3/4 becomes 15/20.
First fraction: 4/5
(LCM ÷ denominator) × numerator
(20 ÷ 5) × 4
= 16
4/5 becomes 16/20.
Their sum is 31/20 or in mixed number form.
What is added to ?
Since both fractions are in mixed number form, what you can do is to just copy them after converting the fractions into similar fractions.
1 + 2 = 3
Least Common Multiple
3: 3, 6, 9, 12, 15, 18,...
5: 5, 10, 15, 20, 25,...
LCM = 15
First fraction: 2/3
(LCM ÷ denominator) × numerator
(15 ÷ 3) × 2
= 10
2/3 becomes 10/15.
First fraction: 4/5
(LCM ÷ denominator) × numerator
(15 ÷ 5) × 4
= 12
4/5 becomes 12/15.
Simplify it further and the result would be
Their sum is in mixed number form.
Find the product of and .
To multiply fractions, do the following:
Since you do not need to convert them to similar fractions like that of adding them, just multiply the numerators then the denominators.
If possible, simplify by getting the greatest common factor (GCF) of the numerator and denominator. Then, divide both of them by their GCF.
×
Greatest Common Factor
105 = 1, 3, 5, 7, 15, 21, 35, 105.
45 = 1, 3, 5, 9, 15 45.
GCF = 15
÷
Their product is 3/7.
What is ÷ ?
To divide fractions, do the following:
Switch the placement of the second fraction's numerator and denominator.
Change the operation from division to multiplication, Do as how you would multiply fractions.
If possible, simplify.
×
Simplify it further by converting it into a mixed number.
Answers & Comments
Verified answer
Answer:
1. A.
2. B.
3. A.
4. C.
Step-by-step explanation:
To add two or more fractions with different denominators, do the following:
What is the sum of
and
?
Least Common Multiple
4: 4, 8, 12, 16, 20, 24,...
5: 5, 10, 15, 20, 25,...
LCM = 20
First fraction: 3/4
(LCM ÷ denominator) × numerator
(20 ÷ 4) × 3
= 15
3/4 becomes 15/20.
First fraction: 4/5
(LCM ÷ denominator) × numerator
(20 ÷ 5) × 4
= 16
4/5 becomes 16/20.
Their sum is 31/20 or
in mixed number form.
What is
added to
?
Since both fractions are in mixed number form, what you can do is to just copy them after converting the fractions into similar fractions.
1 + 2 = 3
Least Common Multiple
3: 3, 6, 9, 12, 15, 18,...
5: 5, 10, 15, 20, 25,...
LCM = 15
First fraction: 2/3
(LCM ÷ denominator) × numerator
(15 ÷ 3) × 2
= 10
2/3 becomes 10/15.
First fraction: 4/5
(LCM ÷ denominator) × numerator
(15 ÷ 5) × 4
= 12
4/5 becomes 12/15.
Simplify it further and the result would be![4\frac{7}{15} 4\frac{7}{15}](https://tex.z-dn.net/?f=4%5Cfrac%7B7%7D%7B15%7D)
Their sum is
in mixed number form.
Find the product of
and
.
To multiply fractions, do the following:
Greatest Common Factor
105 = 1, 3, 5, 7, 15, 21, 35, 105.
45 = 1, 3, 5, 9, 15 45.
GCF = 15
Their product is 3/7.
What is
÷
?
To divide fractions, do the following:
Simplify it further by converting it into a mixed number.
The quotient is
in mixed number.
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