Adam wants to compare the fractions 2/5, 1/6 and 1/3. He wants to order them from least to greatest and rewrite them so they all have th same denominator. Explain how Adam can rewrite the fractions.
30 is the common denominator.
To change 2/5 to an equivalent fraction,
divide 30 by 5 = 6
multiply the numerator by 6
2/5 = 12/30
Change the other fractions the same way.
Adam wants to compare the fractions 2 over 5, 1 over 6, and 1 over 3. He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrote the fractions.
Uhm, I don’t understand.. We’re trying to see how to put them in order, Not go to equal fractions.
To compare fractions, it's necessary to first have a common denominator. Adam can rewrite the given fractions with the same denominator and then order them from least to greatest using the following steps:
1. Find the least common multiple (LCM) of the denominators: In this case, the denominators are 5, 6, and 3. The LCM of 5, 6, and 3 is 30.
2. Rewrite the fractions with the common denominator:
- For 2/5: Multiply the numerator and denominator by 6 to get 12/30.
- For 1/6: Multiply the numerator and denominator by 5 to get 5/30.
- For 1/3: Multiply the numerator and denominator by 10 to get 10/30.
Now, Adam has rewritten the fractions with a common denominator, 30.
3. Order the fractions from least to greatest:
- 5/30 is the least since the numerator is the smallest.
- 10/30 comes next.
- 12/30 is the greatest since the numerator is the largest.
So, the order from least to greatest is 5/30, 10/30, and 12/30.
To summarize, Adam can rewrite the fractions by finding their least common denominator (LCM), and then multiply the numerators and denominators accordingly. After rewriting the fractions with the same denominator, he can compare them by looking at the numerators and ordering them from least to greatest.