114k views
5 votes
What is the least common denominator of the four fractions listed below 20 7/10, 20 3/4, 18 9/10, 20 18/25

2 Answers

6 votes

Final answer:

To find the least common denominator of the four fractions, convert each mixed number to an improper fraction and find the least common multiple (LCM) of the denominators. The least common denominator of the four fractions is 100.

Step-by-step explanation:

To find the least common denominator of the four fractions, we can start by converting each mixed number to an improper fraction.

20 7/10 = 20 + 7/10 = 207/10

20 3/4 = 20 + 3/4 = 203/4

18 9/10 = 18 + 9/10 = 189/10

20 18/25 = 20 + 18/25 = 1420/25

Now, we can find the least common multiple (LCM) of the denominators: 10, 4, 10, and 25.

The LCM of 10, 4, 10, and 25 is 100. Therefore, the least common denominator of the four fractions is 100.

User Diane M
by
7.0k points
7 votes
so what you do is see all the denomenators and factor them (denomenaotrs are the bottom numbres)

10,4,10,25
10=2 times 5
4=2 times 2
10=2 times 5
25=5 times 5
we need to include all of them so we need at leas two 2's, and two 5's
2 times 2 times 5 times 5=100
leact common denomator is 100
User Jdeyrup
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.