Can someone elaborate the rule of common denominators? a) What is

Lawson Cain

Lawson Cain

Answered question

2022-02-04

Can someone elaborate the rule of common denominators?
a) What is 38+14?
b) What is 312215?

Answer & Explanation

bubble53zjr

bubble53zjr

Beginner2022-02-05Added 14 answers

Step 1
a) We can see that the denominators are not common. We can also see that the denominator 4 ca become 8 by myltiplying 12 by 22
38+14×22
Simplify
38+28
Now add the fractions.
38+28=58
Vaughn Bradley

Vaughn Bradley

Beginner2022-02-06Added 16 answers

Step 1
b) In this example, the denominators are not multiples of each other, so we must first determine the least common denominator (LCD) of 12 and 15. List the multiples of 12 and 15. The lowest number they have in common is the LCD.
12:12,24,36,48,60,72,8415:15,30,45,60
The LCD is 60.
Now go back to the question.
312215
Now we must multiply each fraction by a fractional form of 1 that gives them a denominator of 60.
12×5=60
15×4=60
Multiply each fraction by the appropriate fractional form of 1.
312×55215×44
Simplify.
1560860
Simplify.
760
Since 7 is a ' number, 760 cannot be reduced.

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